%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Chad Topaz at 2011-07-26 08:59:29 -0500 %% Saved with string encoding Unicode (UTF-8) @article{BerTop2011, Abstract = {{We study equilibrium configurations of swarming biological organisms subject to exogenous and pairwise endogenous forces. Beginning with a discrete dynamical model, we derive a variational description of the corresponding continuum population density. Equilibrium solutions are extrema of an energy functional and satisfy a Fredholm integral equation. We find conditions for the extrema to be local minimizers, global minimizers, and minimizers with respect to infinitesimal Lagrangian displacements of mass. In one spatial dimension, for a variety of exogenous forces, endogenous forces, and domain configurations, we find exact analytical expressions for the equilibria. These agree closely with numerical simulations of the underlying discrete model. The exact solutions provide a sampling of the wide variety of equilibrium configurations possible within our general swarm modeling framework. The equilibria typically are compactly supported and may contain delta-concentrations or jump discontinuities at the edge of the support. We apply our methods to a model of locust swarms, which in nature are observed to consist of a concentrated population on the ground separated from an airborne group. Our model can reproduce this configuration; quasi-two-dimensionality of the model plays a critical role.}}, Author = {Bernoff, Andrew J. and Topaz, Chad M.}, Date-Added = {2011-07-16 10:32:58 -0500}, Date-Modified = {2011-07-16 10:33:50 -0500}, Journal = {SIAM J. Appl. Dyn. Sys.}, Keywords = {swarm; equilibrium; aggregation; integrodifferential equation; variational model; energy; minimizer; locust}, Number = {1}, Pages = {212-250}, Title = {A Primer of Swarm Equilibria}, Volume = {10}, Year = {2011}, Bdsk-Url-1 = {http://dx.doi.org/10.1137/100804504%7D}} @article{Fla1980, Abstract = {Quantitative modeling using operations research and related techniques has much less promise for mitigating court delay than proponents anticipate. Results to date have been discouraging, largely because trial court process is exceptionally difficult to model. There is no consistent sequence or path, and critical discretionary decisions are made by professionals based on individualized criteria that are hard to code. Also, participants (litigants and lawyers) are not part of the organization in any normal sense: Their very purpose is conflict, and they are as likely to try to subvert the court operation as support it. Manipulating court incentive structures is a more promising management approach.}, Author = {Flanders, Steven}, Date-Added = {2011-06-27 09:30:48 -0500}, Date-Modified = {2011-06-27 09:32:14 -0500}, Journal = {Law \& Policy}, Keywords = {queueing docket court backlog}, Number = {3}, Pages = {305-320}, Title = {Modeling Court Delay}, Volume = {2}, Year = {1980}, Bdsk-File-1 = 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@article{NagNeeMun1978, Author = {Nagel, Stuart and Neef, Marian and Munshaw, Nancy}, Date-Added = {2011-06-24 14:34:25 -0500}, Date-Modified = {2011-06-27 09:12:41 -0500}, Journal = {Judicature}, Keywords = {queueing docket court backlog}, Pages = {128-143}, Title = {Bringing Management Science to the Courts to Reduce Delay}, Volume = {62}, Year = {1978}, Bdsk-File-1 = 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@article{Nag1981, Author = {Nagel, Stuart S.}, Date-Added = {2011-06-24 14:32:59 -0500}, Date-Modified = {2011-06-27 09:12:53 -0500}, Journal = {North Carolina Law Review}, Keywords = {queueing docket court backlog}, Pages = {103-144}, Title = {Predicting and Reducing Court-Case Time through Simple Logic}, Volume = {60}, Year = {1981}, Bdsk-File-1 = 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@url{expint, Date-Added = {2011-06-21 09:28:25 -0500}, Date-Modified = {2011-06-21 09:54:03 -0500}, Howpublished = {\tt{http://www.math.ntnu.no/num/expint/matlab.php}}} @article{DesSchWie2011, Abstract = {We compared the amounts of learning achieved using two different instructional approaches under controlled conditions. We measured the learning of a specific set of topics and objectives when taught by 3 hours of traditional lecture given by an experienced highly rated instructor and 3 hours of instruction given by a trained but inexperienced instructor using instruction based on research in cognitive psychology and physics education. The comparison was made between two large sections (N = 267 and N = 271) of an introductory undergraduate physics course. We found increased student attendance, higher engagement, and more than twice the learning in the section taught using research-based instruction.}, Author = {Deslauriers, Louis and Schelew, Ellen and Wieman, Carl}, Date-Added = {2011-06-02 08:12:05 -0500}, Date-Modified = {2011-06-02 08:12:33 -0500}, Journal = {Science}, Keywords = {teaching pedagogy clickers pre-class instruction}, Number = {6031}, Pages = {862-864}, Title = {Improved Learning in a Large-Enrollment Physics Class}, Volume = {332}, Year = {2011}, Bdsk-File-1 = {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}, Bdsk-Url-1 = {http://dx.doi.org/10.1126/science.1201783}} @misc{Ron2011, Author = {Ronan, Andrew S.}, Date-Added = {2011-05-31 14:55:13 -0500}, Date-Modified = {2011-05-31 14:55:53 -0500}, Howpublished = {Senior thesis, Harvey Mudd College}, Keywords = {swarm aggregation continuum kernel integrodifferential}, Title = {Analytic and Numerical Studies of a Simple Model of Attractive-Repulsive Swarms}, Year = {2011}, Bdsk-File-1 = {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}} @article{DewBacMet2002, Abstract = {We describe the formation of spatial structures generated by diffusive instabilities in bistable systems. The coupling between the different spatial modes emanating from the two homogeneous steady states can then give rise to self-parametric instabilities favoring the occurrence of resonant rhombic or quasiperiodic structures such as superlattices or quasicrystalline patterns.}, Author = {Dewel, G. and Bachir, M. and Metens, S. and Borckmans, P.}, Date-Added = {2011-05-31 08:51:58 -0500}, Date-Modified = {2011-05-31 08:52:28 -0500}, Journal = {Faraday Discuss.}, Pages = {363-370}, Title = {Pattern Formation and Spatial Self-Entrainment in Bistable Chemical Systems}, Volume = {120}, Year = {2002}, Bdsk-File-1 = {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}} @article{NakMik2010, Annote = {10.1038/nphys1651}, Author = {Nakao, Hiroya and Mikhailov, Alexander S.}, Date-Added = {2011-05-27 08:20:07 -0500}, Date-Modified = {2011-05-27 08:20:57 -0500}, Journal = {Nat. Phys.}, Keywords = {turing network two layer pattern}, Month = {Jul.}, Number = {7}, Pages = {544-550}, Title = {Turing Patterns in Network-Organized Activator-Inhibitor Systems}, Volume = {6}, Year = {2010}, Bdsk-File-1 = {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}} @article{ZhoZha2002, Abstract = { In this paper we study the echo wave and coexisting phenomena in linearly coupled brusselators and put forward a new method to prove the existence of the echo wave. We find that the existence of the echo wave is determined by that of the periodic solution of the associate oscillator. In addition, we also find that the stable steady state may coexist with the echo wave and that the echo wave may coexist with the in-phase wave under suitable conditions, and specify the coexisting regimes on parameters.}, Author = {Zhou, Tianshou and Zhang, Suochun}, Date-Added = {2011-05-27 08:09:34 -0500}, Date-Modified = {2011-06-03 09:47:24 -0500}, Journal = {Chaos Sol. Frac.}, Keywords = {brusselator turing coupled two layer}, Number = {4}, Pages = {621-632}, Title = {Echo Waves and Coexisting Phenomena in Coupled {B}russelators}, Volume = {13}, Year = {2002}, Bdsk-File-1 = {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}} @article{ZhoZha2001, Abstract = { Tyson [Ann. NY Acad. Sci. 316 (1979) 279] conjectured that the stable homogeneous positive steady state may coexist with stable echo wave (meaning anti-phase wave) in linearly coupled Oregonators (and thus gave a conjecture on the bifurcation diagram of this system). In this paper, we rigorously prove stability of the in-phase wave and existence of the anti-phase wave. Our proof procedure actually gives a general method (or line) to deal with the analogous problem. For instance, to prove stability of the in-phase wave, following our line one may decompose the corresponding variational equations (a four-dimensional system) into two independent planar systems; also for instance, existence of the anti-phase wave can be concluded as existence and uniqueness of limit cycle of the associate oscillator. In addition, according to parameter regimes of existence of the anti-phase wave and the stable homogeneous positive steady state, we give their coexistence regime and specify it, and in particular give the regime of the coupled coefficient. The specified results show that the theoretical results are in good accord with Tyson's numerical results.}, Author = {Zhou, Tianshou and Zhang, Suochun}, Date-Added = {2011-05-27 08:07:53 -0500}, Date-Modified = {2011-06-03 09:46:44 -0500}, Journal = {Phys. D}, Keywords = {Normal form oregonator turing coupled two layer}, Number = {2-4}, Pages = {199-216}, Title = {Dynamical Behavior in Linearly Coupled {O}regonators}, Volume = {151}, Year = {2001}, Bdsk-File-1 = {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}} @article{ZhoMu2010, Abstract = { In this paper, we study the stationary problems for the coupled two-cell Brusselator model as follows We first study the stability of the unique positive constant solution (u,v,w,z)=(1,1,1,1). Then, we give a priori estimate (positive upper and lower bounds) to the positive solution. At last, we obtain the non-existence and existence of positive non-constant solutions as parameters d1, d2 and b varied.}, Author = {Zhou, Jun and Mu, Chunlai}, Date-Added = {2011-05-27 08:01:04 -0500}, Date-Modified = {2011-06-03 10:06:35 -0500}, Journal = {J. Math. Anal. Appl.}, Keywords = {Bifurcation turing coupled pattern two layer}, Number = {2}, Pages = {679-693}, Title = {Pattern Formation of a Coupled Two-Cell {B}russelator Model}, Volume = {366}, Year = {2010}, Bdsk-File-1 = {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}} @article{Sil2000, Author = {Silvester, John R.}, Date-Added = {2011-05-27 07:56:34 -0500}, Date-Modified = {2011-05-27 07:57:42 -0500}, Journal = {The Mathematical Gazette}, Keywords = {block matrix matrices determinants turing two layer}, Number = {501}, Pages = {460-467}, Title = {Determinants of Block Matrices}, Volume = {84}, Year = {2000}, Bdsk-File-1 = {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}} @article{Ngo2005, Annote = {helpful calculation for coupled turing pattern two layer calculation}, Author = {Ngo, Khiem V.}, Journal = {Appl. Num. Anal. Comp. Math.}, Keywords = {eigenprojection, resolvent, Laurent expansion, perturbation theory, complex analysis}, Number = {1}, Pages = {108-125}, Title = {An Approach of Eigenvalue Perturbation Theory}, Volume = {2}, Year = {2005}, Bdsk-File-1 = {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}} @article{LiuWenLee1997, Abstract = { Complex periodic and aperiodic dynamics for the coupling between simple oscillators in a series of two CSTRs with recycle has been investigated. Numerical results are reported with flow rate and recycle ratio as bifurcation parameters. A new route following 1j bifurcation (j can be odd or even numbers depending on the space time and recycle ratio) to chaos has been identified. The so-called ``well-mixed limit'' depends on the chemical kinetics involved. }, Author = {Liu, C. I. and Wen, H. J. and Lee, D. J.}, Date-Added = {2011-05-26 10:57:47 -0500}, Date-Modified = {2011-06-03 09:46:11 -0500}, Journal = {J. Phys. Chem. A}, Keywords = {coupled turing pattern two layer}, Number = {2}, Pages = {170-173}, Title = {Complex Dynamics Resulting from Coupling between {O}regonators in a Series of Two {CSTR}s with Recycle}, Volume = {101}, Year = {1997}, Bdsk-File-1 = {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}} @article{KytKasBar2007, Abstract = { Recently pattern formation in layered structures, showing complicated superimposed patterns, has been modeled by coupling two Turing systems linearly, i.e., passively, such that the characteristic length scales of the independent systems are well separated. Here we propose a model of two non-linearly coupled Turing systems to study pattern formation in layered membrane-like structures, where the coupling plays an active role and changes the kinetics of the uncoupled systems. Extensive numerical simulations show that non-linear coupling generates a number of new regular patterns different from the ones observed earlier with linearly coupled systems. Some of them turn out to be superimposed patterns with different length scales, but many are not. Also, contrary to the linear coupling case, the strength of the non-linear coupling is found to play an important role in the formation and selection of patterns.}, Author = {Kytt{\"a}, Klaus and Kaski, Kimmo and Barrio, R. A.}, Date-Added = {2011-05-26 10:54:12 -0500}, Date-Modified = {2011-06-03 09:48:03 -0500}, Journal = {Physica A}, Keywords = {Multi-layer Turing systems two layer pattern}, Number = {1}, Pages = {105 - 114}, Title = {Complex {T}uring Patterns in Non-Linearly Coupled Systems}, Volume = {385}, Year = {2007}, Bdsk-File-1 = {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}} @article{JiLi2006, Abstract = { The effect of sub-environment and external influence on Turing pattern formation in two-layer coupled reaction-diffusion systems is studied. When the two layers are in different sub-environments, not only can classical Turing patterns be either induced or inhibited, but also special Turing patterns with different temporal characters may appear. This means Turing pattern formation in the coupled systems may result from coupling. When one of the sub-layers is under external influence, Turing patterns in the coupled systems exhibit stronger ability to survive than in the single-layer cases. Since bilayer membranes or mutilayer tissues are often found, this work is of practical significance for investigations of pattern formation in complex biological systems.}, Author = {Ji, Lin and Li, Qian Shu}, Date-Added = {2011-05-26 10:47:15 -0500}, Date-Modified = {2011-05-26 10:48:08 -0500}, Journal = {Chem. Phys. Lett.}, Keywords = {turing pattern two layer}, Number = {4-6}, Pages = {432-436}, Title = {Turing Pattern Formation in Coupled Reaction-Diffusion Systems: Effects of Sub-Environment and External Influence}, Volume = {424}, Year = {2006}, Bdsk-File-1 = {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}} @article{JiLi2005, Author = {Ji, Lin and Li, Qian Shu}, Date-Added = {2011-05-26 10:43:24 -0500}, Date-Modified = {2011-05-26 10:44:12 -0500}, Journal = {J. Chem. Phys.}, Keywords = {reaction-diffusion systems; spatiotemporal phenomena; pattern formation; oscillations; biomembranes; biological tissues; biochemistry; two layer pattern}, Number = {9}, Pages = {094509}, Title = {Turing Pattern Formation in Coupled Reaction-Diffusion System with Distributed Delays}, Volume = {123}, Year = {2005}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfQAAAAAAfQAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugxKaUxpMjAwNS5wZGYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbSNyHiwSAAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMh49pgAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBsTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoASmlMaTIwMDUucGRmAA4AGgAMAEoAaQBMAGkAMgAwADAANQAuAHAAZABmAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAVlVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvSmlMaTIwMDUucGRmABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE4uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9KaUxpMjAwNS5wZGbSHB0kJaIlIVxOU0RpY3Rpb25hcnkSAAGGoF8QD05TS2V5ZWRBcmNoaXZlcgAIABEAFgAfACgAMgA1ADoAPABFAEsAUgBdAGUAbABvAHEAcwB2AHgAegB8AIYAkwCYAKACmAKaAp8CqAKzArcCxQLMAtUDJgMrAy4DOwNAAAAAAAAAAgEAAAAAAAAAKAAAAAAAAAAAAAAAAAAAA1I=}} @article{CoxMat2002, Abstract = { We develop a class of numerical methods for stiff systems, based on the method of exponential time differencing. We describe schemes with second- and higher-order accuracy, introduce new Runge-Kutta versions of these schemes, and extend the method to show how it may be applied to systems whose linear part is nondiagonal. We test the method against other common schemes, including integrating factor and linearly implicit methods, and show how it is more accurate in a number of applications. We apply the method to both dissipative and dispersive partial differential equations, after illustrating its behavior using forced ordinary differential equations with stiff linear parts. }, Author = {Cox, S. M. and Matthews, P. C.}, Date-Added = {2011-05-26 10:38:30 -0500}, Date-Modified = {2011-05-26 10:38:56 -0500}, Journal = {J. Comp. Phys.}, Keywords = {exponential time differencing integrator integration numerical scheme}, Number = {2}, Pages = {430-455}, Title = {Exponential Time Differencing for Stiff Systems}, Volume = {176}, Year = {2002}, Bdsk-File-1 = {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}} @article{YanEps2003, Author = {Yang, Lingfa and Epstein, Irving R.}, Date-Added = {2011-05-26 10:32:16 -0500}, Date-Modified = {2011-06-03 09:43:51 -0500}, Journal = {Phys. Rev. Lett.}, Keywords = {turing two layer pattern}, Month = {May}, Number = {17}, Pages = {178303}, Title = {Oscillatory {T}uring Patterns in Reaction-Diffusion Systems with Two Coupled Layers}, Volume = {90}, Year = {2003}, Bdsk-File-1 = {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}} @article{VolRom1995, Abstract = {A two-parametrical bifurcation analysis of the dynamics of two identical asymmetrically coupled Brusselators is performed disregarding limitations on the coupling strength and on the parameter choice with respect to Hopf bifurcation. The bifurcations of inhomogeneous steady states and periodic attractors are calculated as functions of the coupling strength and one of the free parameters. Inherent bifurcations for all kinds of solutions and relationships between attractors are established. A four-dimensional scenario of the infinite period bifurcation was considered. Special attention is paid to the spatially inhomogeneous limit cycle which can occupy a large window in a parameter space. It is shown that the structure of the phase diagram is strongly affected by the stiffness, which is a typical feature of real oscillators. The role of the fast variable exchange in the existence of inhomogeneous regimes is discussed.}, Author = {Volkov, Evgenii I. and Romanov, Victor A.}, Date-Added = {2011-05-26 10:26:26 -0500}, Date-Modified = {2011-06-03 09:55:41 -0500}, Journal = {Phys. Scrip.}, Keywords = {brusselator turing coupled layer pattern}, Number = {1}, Pages = {19}, Title = {Bifurcations in the System of Two Identical Diffusively Coupled Brusselators}, Volume = {51}, Year = {1995}, Bdsk-File-1 = {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}} @article{LiuPan2010, Author = {Liu, Fu-Cheng and Pan, Yu-Yang}, Date-Added = {2011-05-26 10:13:27 -0500}, Date-Modified = {2011-06-03 10:07:00 -0500}, Journal = {Comm. Theor. Phys.}, Keywords = {turing superlattice two layer pattern}, Number = {5}, Pages = {971-976}, Title = {Superlattice Patterns in Coupled {T}uring Systems}, Volume = {53}, Year = {2010}, Bdsk-File-1 = {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}} @article{KasTre2005, Author = {Kassam, Aly-Khan and Trefethen, Lloyd N.}, Date-Added = {2011-05-26 10:03:52 -0500}, Date-Modified = {2011-05-26 10:06:53 -0500}, Journal = {SIAM J. Sci. Comp.}, Keywords = {ETD; exponential time-differencing; KdV; Kuramoto--Sivashinsky; Burgers; Allen--Cahn; implicit-explicit; split step; integrating factor}, Number = {4}, Pages = {1214-1233}, Title = {Fourth-Order Time-Stepping for Stiff PDEs}, Volume = {26}, Year = {2005}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfwAAAAAAfwAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug5LYXNUcmUyMDA1LnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAfHnaygPWsAAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMoEHQAAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBuTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAS2FzVHJlMjAwNS5wZGYADgAeAA4ASwBhAHMAVAByAGUAMgAwADAANQAuAHAAZABmAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAWFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvS2FzVHJlMjAwNS5wZGYAEwABLwAAFQACAAv//wAAgAXSHB0eH1gkY2xhc3Nlc1okY2xhc3NuYW1lox8gIV1OU011dGFibGVEYXRhVk5TRGF0YVhOU09iamVjdF8QUC4uL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0thc1RyZTIwMDUucGRm0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAqACogKnArACuwK/As0C1ALdAzADNQM4A0UDSgAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANc}, Bdsk-Url-1 = {http://dx.doi.org/10.1137/S1064827502410633}} @article{BerSkaWri2007, Author = {Berland, H{\aa}vard and Skaflestad, B{\aa}rd and Wright, Will M.}, Date-Added = {2011-05-26 09:56:35 -0500}, Date-Modified = {2011-06-21 09:18:37 -0500}, Journal = {ACM Trans. Math. Soft.}, Keywords = {exponential time differencing integrator integration expint}, Month = {March}, Number = {1}, Title = {{EXPINT}: A {MATLAB} Package for Exponential Integrators}, Volume = {33}, Year = {2007}, Bdsk-File-1 = {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}} @article{Gam1985, Author = {Gambaudo, J. M.}, Date-Added = {2011-05-26 09:53:55 -0500}, Date-Modified = {2011-05-26 09:54:33 -0500}, Journal = {J. Diff. Eq.}, Number = {2}, Pages = {172 - 199}, Title = {Perturbation of a Hopf Bifurcation by an External Time-Periodic Forcing}, Volume = {57}, Year = {1985}, Bdsk-File-1 = {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}, Bdsk-Url-1 = {http://dx.doi.org/10.1016/0022-0396(85)90076-2}} @article{DuZhu2005, Author = {Du, Qiang and Zhu, Wenxiang}, Date-Added = {2011-05-26 09:50:09 -0500}, Date-Modified = {2011-05-26 09:51:00 -0500}, Journal = {BIT Num. Math.}, Keywords = {Exponential time differencing numerical schemes}, Number = {2}, Pages = {307-328}, Title = {Analysis and Applications of the Exponential Time Differencing Schemes and Their Contour Integration Modifications}, Volume = {45}, Year = {2005}, Bdsk-File-1 = {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}, Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10543-005-7141-8}} @article{BedRodBer2011, Author = {Bedrossian, Jacob and Rodr\'iguez, Nancy and Bertozzi, Andrea L.}, Date-Added = {2011-05-10 10:04:26 -0500}, Date-Modified = {2011-05-10 10:05:55 -0500}, Journal = {Nonlinearity}, Keywords = {aggregation diffusion swarming integral equation}, Number = {6}, Pages = {1683-1714}, Title = {Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion}, Volume = {24}, Year = {2011}, Bdsk-File-1 = {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}} @unpublished{McNTop2011, Author = {McNamara, Amelia and Topaz, Chad M.}, Date-Added = {2011-03-06 09:01:13 -0600}, Date-Modified = {2011-03-06 09:02:29 -0600}, Note = {Preprint}, Title = {Analysis of diffusively-coupled reactiond-diffusion layers}, Year = {2011}} @article{GejLusAlb2011, Abstract = {Periodic reversals of the direction of motion in systems of self-propelled rod shaped bacteria enable them to effectively resolve traffic jams formed during swarming and maximize their swarming rate. In this paper, a connection is found between a microscopic one dimensional cell-based stochastic model of reversing non-overlapping bacteria and a macroscopic non-linear diffusion equation describing dynamics of the cellular density. Boltzmann-Matano analysis is used to determine the nonlinear diffusion equation corresponding to the specific reversal frequency. Macroscopically (ensemble-vise) averaged stochastic dynamics is shown to be in a very good agreement with the numerical solutions of the nonlinear diffusion equation. Critical density $p_0$ is obtained such that nonlinear diffusion is dominated by the collisions between cells for the densities $p>p_0$. An analytical approximation of the pairwise collision time and semi-analytical fit for the total jam time per reversal period are also obtained. It is shown that cell populations with high reversal frequencies are able to spread out effectively at high densities. If the cells rarely reverse then they are able to spread out at lower densities but are less efficient at spreading out at at higher densities.}, Author = {Gejji, Richard and Lushnikov, Pavel M. and Alber, Mark}, Date-Added = {2011-01-08 09:01:03 -0600}, Date-Modified = {2011-01-08 09:01:29 -0600}, Keywords = {bacteria swarm}, Title = {Macroscopic model of self-propelled bacteria swarming with regular reversals}, Year = {2011}, Bdsk-File-1 = {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}} @article{GuiCarPer2010, Author = {Guiu-Souto, Jacobo and Carballido, Jorge and P\'erez-Villar, Vincent and Mu\~nuzuri, Alberto}, Date-Added = {2010-12-31 06:47:46 -0600}, Date-Modified = {2010-12-31 06:49:04 -0600}, Journal = {Phys. Rev. E}, Keywords = {Turing pattern formation forcing}, Month = {Dec.}, Number = {6}, Pages = {066209}, Title = {Manipulation of diffusion coefficients via periodic vertical forcing controls the mechanism of Turing pattern formation"}, Volume = {82}, Year = {2010}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAgoAAAAAAgoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LuhFHdWlDYXJQZXIyMDEwLnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAATiMAyUMs+QAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMlDgVkAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBxTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAR3VpQ2FyUGVyMjAxMC5wZGYAAA4AJAARAEcAdQBpAEMAYQByAFAAZQByADIAMAAxADAALgBwAGQAZgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFtVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0d1aUNhclBlcjIwMTAucGRmAAATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBTLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvR3VpQ2FyUGVyMjAxMC5wZGbSHB0kJaIlIVxOU0RpY3Rpb25hcnkSAAGGoF8QD05TS2V5ZWRBcmNoaXZlcgAIABEAFgAfACgAMgA1ADoAPABFAEsAUgBdAGUAbABvAHEAcwB2AHgAegB8AIYAkwCYAKACrgKwArUCvgLJAs0C2wLiAusDQQNGA0kDVgNbAAAAAAAAAgEAAAAAAAAAKAAAAAAAAAAAAAAAAAAAA20=}} @article{BirWil1983, Author = {Birman, J. S. and Williams, R. F.}, Date-Added = {2010-12-08 14:21:49 -0600}, Date-Modified = {2010-12-08 14:22:22 -0600}, Journal = {Topology}, Number = {1}, Pages = {47-82}, Title = {KNOTTED PERIODIC-ORBITS IN DYNAMICAL-SYSTEMS .1. LORENZ EQUATIONS}, Volume = {22}, Year = {1983}, Bdsk-File-1 = {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}} @article{LeoLiv2010, Author = {Leoni, Marco and Liverpool, Tanniemola}, Date-Added = {2010-12-06 10:08:40 -0600}, Date-Modified = {2010-12-06 10:09:54 -0600}, Journal = {Phys. Rev. Lett.; Physical Review Letters}, Keywords = {swarm aggregation swim hydrodynamic}, Number = {23}, Pages = {238102}, Title = {Swimmers in Thin Films: From Swarming to Hydrodynamic Instabilities"}, Volume = {105}, Year = {2010}, Bdsk-File-1 = {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}} @article{DanForHou2010, Abstract = {The science of networks has revolutionised research into the dynamics of interacting elements. It could be argued that epidemiology in particular has embraced the potential of network theory more than any other discipline. Here we review the growing body of research concerning the spread of infectious diseases on networks, focusing on the interplay between network theory and epidemiology. The review is split into four main sections, which examine: the types of network relevant to epidemiology; the multitude of ways these networks can be characterised; the statistical methods that can be applied to infer the epidemiological parameters on a realised network; and finally simulation and analytical methods to determine epidemic dynamics on a given network. Given the breadth of areas covered and the ever-expanding number of publications, a comprehensive review of all work is impossible. Instead, we provide a personalised overview into the areas of network epidemiology that have seen the greatest progress in recent years or have the greatest potential to provide novel insights. As such, considerable importance is placed on analytical approaches and statistical methods which are both rapidly expanding fields. Throughout this review we restrict our attention to epidemiological issues.}, Author = {Danon, Leon and Ford, Ashley P. and House, Thomas and Jewell, Chris P. and Keeling, Matt J. and Roberts, Gareth O. and Ross, Joshua V. and Vernon, Matthew C.}, Date-Added = {2010-12-01 09:52:27 -0600}, Date-Modified = {2010-12-01 09:52:27 -0600}, Eprint = {1011.5950v1}, Month = {11}, Title = {Networks and the Epidemiology of Infectious Disease}, Url = {http://arxiv.org/abs/1011.5950v1}, Year = {2010}, Bdsk-File-1 = {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}} @article{ZhdSpr2010, Author = {Zhdankin, Vladimir and Sprott, J. C.}, Date-Added = {2010-12-01 09:51:23 -0600}, Date-Modified = {2010-12-01 09:51:52 -0600}, Journal = {Phys. Rev. E}, Keywords = {swarm aggregation discrete predator prey}, Month = {Nov}, Number = {5}, Numpages = {7}, Pages = {056209}, Title = {Simple predator-prey swarming model}, Volume = {82}, Year = {2010}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfwAAAAAAfwAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug5aaGRTcHIyMDEwLnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAARMGPyRrNBwAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMkbIWcAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBuTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAWmhkU3ByMjAxMC5wZGYADgAeAA4AWgBoAGQAUwBwAHIAMgAwADEAMAAuAHAAZABmAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAWFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvWmhkU3ByMjAxMC5wZGYAEwABLwAAFQACAAv//wAAgAXSHB0eH1gkY2xhc3Nlc1okY2xhc3NuYW1lox8gIV1OU011dGFibGVEYXRhVk5TRGF0YVhOU09iamVjdF8QUC4uL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1poZFNwcjIwMTAucGRm0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAqACogKnArACuwK/As0C1ALdAzADNQM4A0UDSgAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANc}} @article{vanEvaSae2009, Abstract = { Background

Over the last two winters, there have been large-scale, unexplained losses of managed honey bee (Apis mellifera L.) colonies in the United States. In the absence of a known cause, this syndrome was named Colony Collapse Disorder (CCD) because the main trait was a rapid loss of adult worker bees. We initiated a descriptive epizootiological study in order to better characterize CCD and compare risk factor exposure between populations afflicted by and not afflicted by CCD.

 Methods and Principal Findings

Of 61 quantified variables (including adult bee physiology, pathogen loads, and pesticide levels), no single measure emerged as a most-likely cause of CCD. Bees in CCD colonies had higher pathogen loads and were co-infected with a greater number of pathogens than control populations, suggesting either an increased exposure to pathogens or a reduced resistance of bees toward pathogens. Levels of the synthetic acaricide coumaphos (used by beekeepers to control the parasitic mite Varroa destructor) were higher in control colonies than CCD-affected colonies.

 Conclusions/Significance

This is the first comprehensive survey of CCD-affected bee populations that suggests CCD involves an interaction between pathogens and other stress factors. We present evidence that this condition is contagious or the result of exposure to a common risk factor. Potentially important areas for future hypothesis-driven research, including the possible legacy effect of mite parasitism and the role of honey bee resistance to pesticides, are highlighted.

}, Author = {vanEngelsdorp, Dennis and Evans, Jay D. and Saegerman, Claude and Mullin, Chris and Haubruge, Eric and Nguyen, Bach Kim and Frazier, Maryann and Frazier, Jim and Cox-Foster, Diana and Chen, Yanping and Underwood, Robyn and Tarpy, David R. and Pettis, Jeffery S.}, Date-Added = {2010-11-14 11:27:29 -0600}, Date-Modified = {2010-11-14 11:27:54 -0600}, Journal = {PLoS ONE}, Keywords = {honey bee colony collapse disorder ccd}, Number = {8}, Pages = {e6481}, Title = {Colony Collapse Disorder: A Descriptive Study}, Volume = {4}, Year = {2009}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAgoAAAAAAgoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LuhF2YW5FdmFTYWUyMDA5LnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQA/HyQV23QAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMkFyz0AAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBxTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAdmFuRXZhU2FlMjAwOS5wZGYAAA4AJAARAHYAYQBuAEUAdgBhAFMAYQBlADIAMAAwADkALgBwAGQAZgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFtVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL3ZhbkV2YVNhZTIwMDkucGRmAAATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBTLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvdmFuRXZhU2FlMjAwOS5wZGbSHB0kJaIlIVxOU0RpY3Rpb25hcnkSAAGGoF8QD05TS2V5ZWRBcmNoaXZlcgAIABEAFgAfACgAMgA1ADoAPABFAEsAUgBdAGUAbABvAHEAcwB2AHgAegB8AIYAkwCYAKACrgKwArUCvgLJAs0C2wLiAusDQQNGA0kDVgNbAAAAAAAAAgEAAAAAAAAAKAAAAAAAAAAAAAAAAAAAA20=}} @article{vanHayUnd2008, Abstract = {<sec> <title>Background</title> <p>Honey bees are an essential component of modern agriculture. A recently recognized ailment, Colony Collapse Disorder (CCD), devastates colonies, leaving hives with a complete lack of bees, dead or alive. Up to now, estimates of honey bee population decline have not included losses occurring during the wintering period, thus underestimating actual colony mortality. Our survey quantifies the extent of colony losses in the United States over the winter of 2007--2008.</p> </sec><sec> <title>Methodology/Principal Findings</title> <p>Surveys were conducted to quantify and identify management factors (e.g. operation size, hive migration) that contribute to high colony losses in general and CCD symptoms in particular. Over 19% of the country's estimated 2.44 million colonies were surveyed. A total loss of 35.8% of colonies was recorded; an increase of 11.4% compared to last year. Operations that pollinated almonds lost, on average, the same number of colonies as those that did not. The 37.9% of operations that reported having at least some of their colonies die with a complete lack of bees had a total loss of 40.8% of colonies compared to the 17.1% loss reported by beekeepers without this symptom. Large operations were more likely to have this symptom suggesting that a contagious condition may be a causal factor. Sixty percent of all colonies that were reported dead in this survey died without dead bees, and thus possibly suffered from CCD. In PA, losses varied with region, indicating that ambient temperature over winter may be an important factor.</p> </sec><sec> <title>Conclusions/Significance</title> <p>Of utmost importance to understanding the recent losses and CCD is keeping track of losses over time and on a large geographic scale. Given that our surveys are representative of the losses across all beekeeping operations, between 0.75 and 1.00 million honey bee colonies are estimated to have died in the United States over the winter of 2007--2008. This article is an extensive survey of U.S. beekeepers across the continent, serving as a reference for comparison with future losses as well as providing guidance to future hypothesis-driven research on the causes of colony mortality.</p> </sec>}, Author = {vanEngelsdorp, Dennis and Hayes, Jr., Jerry and Underwood, Robyn M. and Pettis, Jeffery}, Date-Added = {2010-11-14 11:24:19 -0600}, Date-Modified = {2010-11-14 11:25:32 -0600}, Journal = {PLoS ONE}, Keywords = {honey bee colony collapse disorder ccd}, Number = {12}, Pages = {e4071}, Title = {A Survey of Honey Bee Colony Losses in the U.S., Fall 2007 to Spring 2008}, Volume = {3}, Year = {2008}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAgoAAAAAAgoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LuhF2YW5IYXlVbmQyMDA4LnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQA/EyQV23QAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMkFyz0AAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBxTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAdmFuSGF5VW5kMjAwOC5wZGYAAA4AJAARAHYAYQBuAEgAYQB5AFUAbgBkADIAMAAwADgALgBwAGQAZgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFtVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL3ZhbkhheVVuZDIwMDgucGRmAAATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBTLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvdmFuSGF5VW5kMjAwOC5wZGbSHB0kJaIlIVxOU0RpY3Rpb25hcnkSAAGGoF8QD05TS2V5ZWRBcmNoaXZlcgAIABEAFgAfACgAMgA1ADoAPABFAEsAUgBdAGUAbABvAHEAcwB2AHgAegB8AIYAkwCYAKACrgKwArUCvgLJAs0C2wLiAusDQQNGA0kDVgNbAAAAAAAAAgEAAAAAAAAAKAAAAAAAAAAAAAAAAAAAA20=}} @article{ButGol2010, Abstract = {Models of diffusion driven pattern formation that rely on the Turing mechanism are utilized in many areas of science. However, many such models suffer from the defect of requiring fine tuning of parameters or an unrealistic separation of scales in the diffusivities of the constituents of the system in order to predict the formation of spatial patterns. In the context of a very generic model of ecological pattern formation, we show that the inclusion of intrinsic noise in Turing models leads to the formation of "quasi-patterns" that form in generic regions of parameter space and are experimentally distinguishable from standard Turing patterns. The existence of quasi-patterns removes the need for unphysical fine tuning in the application of Turing models to real systems.}, Author = {Butler, Thomas and Goldenfeld, Nigel}, Date-Added = {2010-11-03 08:12:12 -0500}, Date-Modified = {2010-11-03 08:12:12 -0500}, Eprint = {1011.0466v1}, Month = {11}, Title = {Fluctuation driven Turing patterns}, Url = {http://arxiv.org/abs/1011.0466v1}, Year = {2010}, Bdsk-File-1 = {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}} @article{NagAkoBir2010, Abstract = {Animals that travel together in groups display a variety of fascinating motion patterns thought to be the result of delicate local interactions among group members. Although the most informative way of investigating and interpreting collective movement phenomena would be afforded by the collection of high-resolution spatiotemporal data from moving individuals, such data are scarce and are virtually non-existent for long-distance group motion within a natural setting because of the associated technological difficulties. Here we present results of experiments in which track logs of homing pigeons flying in flocks of up to 10 individuals have been obtained by high-resolution lightweight GPS devices and analyzed using a variety of correlation functions inspired by approaches common in statistical physics. We find a well-defined hierarchy among flock members from data concerning leading roles in pairwise interactions, defined on the basis of characteristic delay times between birds' directional choices. The average spatial position of a pigeon within the flock strongly correlates with its place in the hierarchy, and birds respond more quickly to conspecifics perceived primarily through the left eye - both results revealing differential roles for birds that assume different positions with respect to flock-mates. From an evolutionary perspective, our results suggest that hierarchical organisation of group flight may be more efficient than an egalitarian one, at least for those flock sizes that permit regular pairwise interactions among group members, during which leader-follower relationships are consistently manifested.}, Author = {Nagy, Mate and Akos, Zsuzsa and Biro, Dora and Vicsek, Tamas}, Date-Added = {2010-10-28 09:18:04 -0500}, Date-Modified = {2010-10-28 09:18:45 -0500}, Keywords = {pigeon flock swarm aggregation}, Month = {10}, Title = {Hierarchical group dynamics in pigeon flocks}, Year = {2010}, Bdsk-File-1 = {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}} @article{GusJohGol2010, Author = {Gusato, J. S. and Johnson, K. A. and Gollub, J. P.}, Date-Added = {2010-10-17 07:56:04 -0500}, Date-Modified = {2010-10-17 08:53:53 -0500}, Journal = {Phys. Rev. Lett.}, Number = {16}, Title = {Oscillatory Flows Induced by Microorganisms Swimming in Two Dimensions"}, Volume = {105}, Year = {2010}, Bdsk-File-1 = {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}} @article{DreGolMic2010, Author = {Drescher, K. and Goldstein, R. E. and Michel, N. and Polin, M. and Tuval, I.}, Date-Added = {2010-10-17 07:55:38 -0500}, Date-Modified = {2010-11-06 06:18:17 -0500}, Journal = {Phys. Rev. Lett.}, Number = {16}, Title = {Direct Measurement of the Flow Field around Swimming Microorganisms"}, Volume = {105}, Year = {2010}, Bdsk-File-1 = {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}} @article{KerMcK1927, Author = {Kermack, W. O. and McKendrick, A. G.}, Date-Added = {2010-10-15 08:57:11 -0500}, Date-Modified = {2010-10-15 08:58:41 -0500}, Journal = {Proc. R. Soc. Lond. A}, Keywords = {kermack mckendric SIR susceptible infected recovered epidemic model}, Number = {772}, Pages = {700-721}, Title = {A Contribution to the Mathematical Theory of Epidemics}, Volume = {115}, Year = {1927}, Bdsk-File-1 = {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}} @article{HueZscDo2010, Abstract = {A simple adaptive network model describing recent swarming experiments is introduced. By exploiting an analogy with human decision-making models, its dynamics is captured using a low-dimensional system of equations permitting analytical investigation. The model reproduces several characteristic features of swarms, including: spontaneous symmetry breaking, noise- and density-driven order-disorder transitions that can be of first or second order, intermittency, and metastable configurations displaying memory effects. By considering only minimal components of the swarming dynamics, it highlights the essential elements required to reproduce the observed behavior.}, Author = {Huepe, Cristi{\'a}n and Zschaler, Gerd and Do, Anne-Ly and Gross, Thilo}, Date-Added = {2010-09-15 16:28:58 -0500}, Date-Modified = {2010-09-15 16:29:20 -0500}, Eprint = {1009.2349v1}, Month = {09}, Title = {Adaptive Network Models of Swarm Dynamics}, Url = {http://arxiv.org/abs/1009.2349v1}, Year = {2010}, Bdsk-File-1 = {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}} @article{KokStaHum2010, Author = {Kokkendorff, S. L. and Starke, J. and Hummel, N.}, Date-Added = {2010-08-24 07:51:06 -0500}, Date-Modified = {2010-08-24 07:52:54 -0500}, Journal = {SIAM J. Appl. Math.}, Keywords = {many-particle systems, gradient flows, stability, self-organization, pattern formation, neuroscience, olfactory system, discrete model, aggregation, swarm}, Number = {7}, Pages = {2534-2555}, Title = {Interacting Many-Particle Systems of Different Particle Types Converge to a Sorted State}, Volume = {70}, Year = {2010}, Bdsk-File-1 = {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}} @unpublished{KolSunUmi2010, Author = {Kolokolnikov, T. and Sun, H. and Uminsky, D. and Bertozzi, A. L.}, Date-Added = {2010-08-23 08:40:01 -0500}, Date-Modified = {2010-08-23 08:41:12 -0500}, Keywords = {swarm aggregation discrete continuum kinematic}, Note = {Preprint}, Title = {Ring Patterns and their Stability in 2{D} Kinematic Particle Aggregation Models}, Year = {2010}, Bdsk-File-1 = {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}} @article{Tay1950, Author = {Taylor, G. I.}, Date-Added = {2010-08-09 05:17:59 -0500}, Date-Modified = {2010-08-09 05:19:45 -0500}, Journal = {Proc. R. Soc. Lond. A}, Keywords = {atomic bomb dimensional analysis}, Month = {Mar.}, Number = {1065}, Pages = {175-186}, Title = {The Formation of a Blast Wave by a Very Intense Explosion. II. The Atomic Explosion of 1945}, Volume = {201}, Year = {1950}, Bdsk-File-1 = {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}} @unpublished{EscYatBuh2010, Abstract = {We obtain a Fokker-Planck equation describing experimental data on the collective motion of locusts. The noise is of internal origin and due to the discrete character and finite number of constituents of the swarm. The stationary probability distribution shows a rich phenomenology including non-monotonic behavior of several order/disorder transition indicators in noise intensity. This complex behavior arises naturally as a result of the randomness in the system. Its counterintuitive character challenges standard interpretations of noise induced transitions and calls for an extension of this theory in order to capture the behavior of certain classes of biologically motivated models. Our results suggest that the collective switches of the group's direction of motion might be due to a random ergodic effect and, as such, they are inherent to group formation.}, Author = {Escudero, Carlos and Yates, Christian A. and Buhl, Jerome and Couzin, Iain D. and Erban, Radek and Kevrekidis, Ioannis G. and Maini, Philip K.}, Date-Added = {2010-08-03 05:00:52 -0500}, Date-Modified = {2010-08-03 05:01:25 -0500}, Keywords = {locust swarm experiment experimental data}, Title = {Ergodic directional switching in mobile insect groups}, Year = {2010}, Bdsk-File-1 = {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}} @unpublished{RosAntBas2010, Abstract = {In this paper we study the emergence of coherence in collective motion described by a system of interacting motiles. By means of a nonlinear parametric coupling, the system elements are able to swing along the route to chaos. Thereby, each motile can display different types of behavior, i.e. from ordered to fully erratic motion, accordingly with its surrounding conditions. The appearance of patterns of collective motion is shown to be related to the emergence of interparticle synchronization and the degree of coherence of motion is quantified by means of a network representation. The effect of both particles' density and of considering different weights for the interparticle distances are also explored.}, Author = {Ros, Anselmo Garc{\'\i}a Cant{\'u} and Antonopoulos, Chris and Basios, Vasileios}, Date-Added = {2010-08-03 04:51:03 -0500}, Date-Modified = {2010-08-03 04:51:54 -0500}, Keywords = {swarm viscek}, Title = {Emergence of Coherent Patterns of Motion in Aggregates of Motile Particles: A Coupled Maps Evolving Network Perspective}, Year = {2010}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1Sb3NBbnRCYXMyMDEwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALWgPyH1QdAAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMh9lsQAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAUm9zQW50QmFzMjAxMAAADgAcAA0AUgBvAHMAQQBuAHQAQgBhAHMAMgAwADEAMAAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1Jvc0FudEJhczIwMTAAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9Sb3NBbnRCYXMyMDEw0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @incollection{Vil2003, Address = {Berlin}, Author = {Villani, Cedric}, Booktitle = {Optimal transportation and applications ({M}artina {F}ranca, 2001)}, Date-Added = {2010-08-02 12:06:40 -0500}, Date-Modified = {2010-08-02 12:07:13 -0500}, Pages = {53-89}, Publisher = {Springer}, Series = {Lecture Notes in Math.}, Title = {Optimal transportation, dissipative {PDE}'s and functional inequalities}, Volume = {1813}, Year = {2003}, Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=2006305}} @article{FelRao2010b, Author = {Fellner, K. and Raoul, G.}, Date-Added = {2010-08-02 08:54:34 -0500}, Date-Modified = {2011-03-01 12:51:45 -0600}, Journal = {Math. Mod. Meth. Appl. Sci.}, Keywords = {swarming aggregation}, Month = {Dec.}, Number = {12}, Pages = {2267-2291}, Title = {Stable Stationary States of Non-Local Interaction Equations}, Volume = {20}, Year = {2010}, Bdsk-File-1 = {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}} @article{FelRao2011, Author = {Fellner, K. and Raoul, G.}, Date-Added = {2010-08-02 08:49:00 -0500}, Date-Modified = {2011-03-01 12:46:52 -0600}, Journal = {Math. Comp. Model.}, Keywords = {swarm aggregation continuum}, Month = {Apr.}, Number = {7-8}, Pages = {1436-1450}, Title = {Stability of Stationary States of Non-Local Equations with Singular Interaction Potentials}, Volume = {53}, Year = {2011}, Bdsk-File-1 = {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}} @unpublished{Rao2010, Author = {Raoul, G.}, Date-Added = {2010-08-02 08:47:33 -0500}, Date-Modified = {2010-08-02 08:48:27 -0500}, Keywords = {swarm aggregation continuum}, Note = {Preprint}, Title = {Non-Local Interaction Equations: Stationary States and Stability Analysis}, Year = {2010}, Bdsk-File-1 = {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}} @article{LukLiEde2010, Abstract = {Social organisms form striking aggregation patterns, displaying cohesion, polarization, and collective intelligence. Determining how they do so in nature is challenging; a plethora of simulation studies displaying life-like swarm behavior lack rigorous comparison with actual data because collecting field data of sufficient quality has been a bottleneck. Here, we bridge this gap by gathering and analyzing a high-quality dataset of flocking surf scoters, forming well-spaced groups of hundreds of individuals on the water surface. By reconstructing each individual's position, velocity, and trajectory, we generate spatial and angular neighbor-distribution plots, revealing distinct concentric structure in positioning, a preference for neighbors directly in front, and strong alignment with neighbors on each side. We fit data to zonal interaction models and characterize which individual interaction forces suffice to explain observed spatial patterns. Results point to strong short-range repulsion, intermediate-range alignment, and longer-range attraction (with circular zones), as well as a weak but significant frontal-sector interaction with one neighbor. A best-fit model with such interactions accounts well for observed group structure, whereas absence or alteration in any one of these rules fails to do so. We find that important features of observed flocking surf scoters can be accounted for by zonal models with specific, well-defined rules of interaction.}, Author = {Lukeman, R. and Li, Y. X. and Edelstein-Keshet, L.}, Date-Added = {2010-07-26 10:23:08 -0500}, Date-Modified = {2010-07-26 10:24:48 -0500}, Journal = {Proc. Natl. Acad. Sci.}, Keywords = {swarm aggregation experiment data parameter fitting}, Month = {Jul.}, Number = {28}, Pages = {12576-12580}, Title = {Inferring Individual Rules from Collective Behavior}, Volume = {107}, Year = {2010}, Bdsk-File-1 = {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}} @article{FraLorMar2028, Author = {Francesco, M. Di and Lorz, A. and Markowich, P.}, Date-Added = {2010-07-22 16:11:17 -0500}, Date-Modified = {2010-07-22 16:12:31 -0500}, Journal = {Disc. Cont. Dyn. Sys.}, Keywords = {chemotaxis swimmers nonlinear diffusion}, Month = {Dec.}, Number = {4}, Pages = {1437-1453}, Title = {Chemotaxis-Fluid Coupled Model for Swimming Bacteria with Nonlinear Diffusion: Global Existence and Asymptotic Behavior}, Volume = {28}, Year = {2010}, Bdsk-File-1 = {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}} @article{ForSch2008, Abstract = {We consider a general model of self-propelling particles interacting through a pairwise attractive force in the presence of noise and communication time delay. Previous work by Erdmann et al. [Phys. Rev. E 71, 051904 (2005)] has shown that a large enough noise intensity will cause a translating swarm of individuals to transition to a rotating swarm with a stationary center of mass. We show that with the addition of a time delay, the model possesses a transition that depends on the size of the coupling amplitude. This transition is independent of the initial swarm state (traveling or rotating) and is characterized by the alignment of all of the individuals along with a swarm oscillation. By considering the mean field equations without noise, we show that the time-delay-induced transition is associated with a Hopf bifurcation. The analytical result yields good agreement with numerical computations of the value of the coupling parameter at the Hopf point.}, Author = {Forgoston, Eric and Schwartz, Ira B.}, Date-Added = {2010-07-15 20:09:35 -0500}, Date-Modified = {2010-07-15 20:10:04 -0500}, Journal = {Phys. Rev. E}, Month = Mar., Number = {3}, Title = {Delay-Induced Instabilities in Self-Propelling Swarms}, Volume = {77}, Year = {2008}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAewAAAAAAewAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugpGb3JTY2gyMDA4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALcNJyGNTzAAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMhjmhwAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBqTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoARm9yU2NoMjAwOAAOABYACgBGAG8AcgBTAGMAaAAyADAAMAA4AA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAVFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvRm9yU2NoMjAwOAATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBMLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvRm9yU2NoMjAwONIcHSQloiUhXE5TRGljdGlvbmFyeRIAAYagXxAPTlNLZXllZEFyY2hpdmVyAAgAEQAWAB8AKAAyADUAOgA8AEUASwBSAF0AZQBsAG8AcQBzAHYAeAB6AHwAhgCTAJgAoAKQApIClwKgAqsCrwK9AsQCzQMcAyEDJAMxAzYAAAAAAAACAQAAAAAAAAAoAAAAAAAAAAAAAAAAAAADSA==}} @article{BanAnsEps2010, Abstract = {External forcing can greatly affect the evolution of Turing patterns in reaction-diffusion (RD) media. Here, we employ spatially periodic illumination in a photosensitive RD system to create Turing structures that are repetitive in one direction. We then study their relaxation in the absence of light. These unforced, fishbonelike configurations undergo self-reorganization and establish stationary arrangements, some of which fully exhibit, while others partially or completely lose, the symmetry of the initially imposed pattern.}, Author = {Bansagi, Tamas, Jr. and Ansari, Sama and Epstein, Irving R. and Dolnik, Milos}, Date-Added = {2010-07-05 19:58:31 -0500}, Date-Modified = {2010-07-05 19:59:44 -0500}, Journal = {Phys. Rev. E}, Keywords = {Turing forcing}, Month = Jun., Number = {6}, Pages = {066207}, Title = {Rearrangement Dynamics of Fishbonelike Turing patterns Generated by Spatial Periodic Forcing}, Volume = {81}, Year = {2010}, Bdsk-File-1 = {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}} @article{TouShrKlu2010, Abstract = {We undertake a systematic numerical exploration of self-organized states in a deterministic model of interacting self-propelled particles in two dimensions. In the process, we identify various types of collective motion, namely, disordered swarms, rings, and droplets. We construct a "phase diagram," which summarizes our results as it delineates phase transitions (all discontinuous) between disordered swarms and vortical flocks on one hand and bound vortical flocks and expanding formations on the other. One of the transition lines is found to have a close analogy with the temperature-driven gas-liquid transition, in finite clusters with the same interparticle potential. Furthermore, we report on a type of flocking which takes place in the presence of a uniform external driver. Altogether, our results set a rather firm stage for experimental refinement and/or falsification of this class of models.}, Author = {Touma, Jihad R. and Shreim, Amer and Klushin, Leonid I.}, Date-Added = {2010-07-05 19:55:34 -0500}, Date-Modified = {2010-07-05 19:56:52 -0500}, Journal = {Phys. Rev. E}, Month = {Jun.}, Number = {6}, Pages = {066106}, Title = {Self-Organization in Two-Dimensional Swarms}, Volume = {81}, Year = {2010}, Bdsk-File-1 = {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}} @article{EftLle2007, Abstract = {During the past few years the authors have developed a new approach to the teaching of physical science, a general education course typically found in the curricula of nearly every college and university. This approach, called Physics in Films (Efthimiou and Llewellyn 2006 Phys. Teach. 44 28--33), uses scenes from popular films to illustrate physical principles and has excited student interest and improved student performance. A similar approach at the senior/high-school level, nicknamed Hollywood Physics, has been developed by Chandler (2006 Phys. Teach. 44 290--2; 2002 Phys. Teach. 40 420--4). The two approaches may be considered complementary as they target different student groups. The analyses of many of the scenes in Physics in Films are a direct application of Fermi calculations---estimates and approximations designed to make solutions of complex and seemingly intractable problems understandable to the student non-specialist. The intent of this paper is to provide instructors with examples they can use to develop skill in recognizing Fermi problems and making Fermi calculations in their own courses.}, Author = {Efthimiou, C. J. and Llewellyn, R. A.}, Date-Added = {2010-07-05 19:49:16 -0500}, Date-Modified = {2010-07-05 19:51:05 -0500}, Journal = {Phys. Educ.}, Number = {3}, Pages = {253-261}, Title = {Cinema, {F}ermi Problems and General Education}, Volume = {42}, Year = {2007}, Bdsk-File-1 = {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}} @techreport{WorldHealth2007, Author = {Prentice, T. and Reinders, L. T.}, Date-Added = {2010-06-17 13:30:47 -0500}, Date-Modified = {2010-06-17 13:35:52 -0500}, Institution = {World Health Organization}, Title = {The World Health Report 2007: A Safer Future: Global Health Perspectives in the 21st Centure}, Year = {2007}, Bdsk-File-1 = {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}} @unpublished{MouGarThe2010, Author = {Moussaid, M. and Garnier, S. and Theraulaz, G. and Helbing, D.}, Date-Added = {2010-06-07 13:49:59 -0500}, Date-Modified = {2010-06-07 13:50:56 -0500}, Keywords = {swarm}, Note = {Preprint}, Title = {Collective Information Processing and Pattern Formation in Swarms, Flocks and Crowds}, Year = {2010}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1Nb3VHYXJUaGUyMDEwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALXDQyBqU/AAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMga20wAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoATW91R2FyVGhlMjAxMAAADgAcAA0ATQBvAHUARwBhAHIAVABoAGUAMgAwADEAMAAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL01vdUdhclRoZTIwMTAAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9Nb3VHYXJUaGUyMDEw0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{Rey2010, Abstract = {Background: Marital dissolution is ubiquitous in western societies. It poses major scientific and sociological problems both in theoretical and therapeutic terms. Scholars and therapists agree on the existence of a sort of second law of thermodynamics for sentimental relationships. Effort is required to sustain them. Love is not enough. Methodology/Principal Findings: Building on a simple version of the second law we use optimal control theory as a novel approach to model sentimental dynamics. Our analysis is consistent with sociological data. We show that, when both partners have similar emotional attributes, there is an optimal effort policy yielding a durable happy union. This policy is prey to structural destabilization resulting from a combination of two factors: there is an effort gap because the optimal policy always entails discomfort and there is a tendency to lower effort to non-sustaining levels due to the instability of the dynamics. Conclusions/Significance: These mathematical facts implied by the model unveil an underlying mechanism that may explain couple disruption in real scenarios. Within this framework the apparent paradox that a union consistently planned to last forever will probably break up is explained as a mechanistic consequence of the second law.}, Author = {Rey, Jose-Manuel}, Date-Added = {2010-06-07 13:49:08 -0500}, Date-Modified = {2010-06-07 13:49:34 -0500}, Journal = {PLoS One}, Month = mar, Number = {3}, Title = {A Mathematical Model of Sentimental Dynamics Accounting for Marital Dissolution}, Volume = {5}, Year = {2010}, Bdsk-File-1 = {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}} @article{TzeHay2009, Abstract = {The stationary-state spatial structure of reacting scalar fields, chaotically advected by a two-dimensional large-scale flow, is examined for the case for which the reaction equations contain delay terms. Previous theoretical investigations have shown that, in the absence of delay terms and in a regime where diffusion can be neglected (large Peclet number), the emergent spatial structures are filamental and characterized by a single scaling regime with a Holder exponent that depends on the rate of convergence of the reactive processes and the strength of the stirring measured by the average stretching rate. In the presence of delay terms, we show that for sufficiently small scales all interacting fields should share the same spatial structure, as found in the absence of delay terms. Depending on the strength of the stirring and the magnitude of the delay time, two further scaling regimes that are unique to the delay system may appear at intermediate length scales. An expression for the transition length scale dividing small-scale and intermediate-scale regimes is obtained and the scaling behavior of the scalar field is explained. The theoretical results are illustrated by numerical calculations for two types of reaction models, both based on delay differential equations, coupled to a two-dimensional chaotic advection flow. The first corresponds to a single reactive scalar and the second to a nonlinear biological model that includes nutrients, phytoplankton, and zooplankton. As in the no delay case, the presence of asymmetrical couplings among the biological species results in a nongeneric scaling behavior. (C) 2009 American Institute of Physics. [DOI:10.1063/1.3210778]}, Author = {Tzella, Alexandra and Haynes, Peter H.}, Date-Added = {2010-04-15 10:13:31 -0500}, Date-Modified = {2010-04-15 10:14:27 -0500}, Journal = {Physics of Fluids}, Keywords = {mixing plankton advection reaction}, Month = Aug., Number = {8}, Title = {The Role of a Delay Time on the Spatial Structure of Chaotically Advected Reactive Scalars}, Volume = {21}, Year = {2009}, Bdsk-File-1 = {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}} @article{SimMil2010, Abstract = {A population-level model of bacterial chemotaxis is derived from a simple bacterial-level model of behavior. This model, to be contrasted with the Keller--Segel equations, exhibits behavior we refer to as the ``volcano effect'': steady-state bacterial aggregation forming a ring of higher density some distance away from an optimal environment. The model is derived, as in Erban and Othmer (2004) [1], from a transport equation in a state space including the internal biochemical variables of the bacteria and then simplified with a truncation at low moments with respect to these variables. We compare the solutions of the model to stochastic simulations of many bacteria, as well as the classic Keller--Segel model. This model captures behavior that the Keller--Segel model is unable to resolve, and sheds light on two different mechanisms that can cause a volcano effect.}, Author = {Simons, J. E. and Milewski, P. A.}, Date-Added = {2010-04-15 08:47:59 -0500}, Date-Modified = {2010-04-15 08:49:01 -0500}, Journal = {Math. Comp. Model.}, Keywords = {bacteria chemotaxis}, Title = {The Volcano Effect in Bacterial Chemotaxis}, Year = {2010}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfwAAAAAAfwAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug5TaW1NaWwyMDEwLnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALcsRx+sy7AAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMfreTwAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBuTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAU2ltTWlsMjAxMC5wZGYADgAeAA4AUwBpAG0ATQBpAGwAMgAwADEAMAAuAHAAZABmAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAWFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvU2ltTWlsMjAxMC5wZGYAEwABLwAAFQACAAv//wAAgAXSHB0eH1gkY2xhc3Nlc1okY2xhc3NuYW1lox8gIV1OU011dGFibGVEYXRhVk5TRGF0YVhOU09iamVjdF8QUC4uL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1NpbU1pbDIwMTAucGRm0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAqACogKnArACuwK/As0C1ALdAzADNQM4A0UDSgAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANc}} @article{MilYan2008, Abstract = {In this paper we introduce a simple continuum model for swarming of organisms in which there is a nonlocal aggregation term with an asymmetric sensing kernel countered by a nonlinear diffusion. The model can be thought of as capturing the dynamics of organisms that aggregate responding to visual cues and whose field of vision is predominantly in the direction of motion. The model has a variety of traveling solutions, including compact swarms where the speed of the swarm increases with the total number of organisms in the swarm (up to a largest swarm), traveling fronts and periodic waves. The dynamics of fully time-dependent solutions include complicated inelastic swarm interactions and the spontaneous breakup of small populations into compact swarms. We also comment on a kinetic formulation that leads to our equations and introduce a bi-directional model where the organisms are allowed to change directions.}, Author = {Milewski, Paul A. and Yang, Xu}, Date-Added = {2010-04-12 09:59:11 -0500}, Date-Modified = {2010-04-12 09:59:55 -0500}, Journal = {Comm. Math. Sci.}, Keywords = {swarming; chemotaxis; traveling waves}, Month = {Jun.}, Number = {2}, Pages = {397-416}, Title = {A Simple Model for Biological Aggregation with Asymmetric Sensing}, Volume = {6}, Year = {2008}, Bdsk-File-1 = {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}} @article{CarDifFig2011, Author = {Carrillo, J. A. and DiFrancesco, M. and Figalli, A. and Laurent, T. and Slepcev, D.}, Date-Added = {2010-03-23 14:17:53 -0500}, Date-Modified = {2011-03-01 12:43:09 -0600}, Journal = {Duke Math. J.}, Keywords = {swarming aggregation nonlocal kernel}, Number = {2}, Pages = {229-271}, Title = {Global-in-Time Weak Measure Solutions and Finite-Time Aggregation for Nonlocal Interaction Equations}, Volume = {156}, Year = {2011}, Bdsk-File-1 = {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}} @article{BerLauRos2011, Author = {Bertozzi, A. L. and Laurent, T. and Rosado, J.}, Date-Added = {2010-03-23 14:15:42 -0500}, Date-Modified = {2011-03-01 12:42:56 -0600}, Journal = {Comm. Pure App. Math.}, Keywords = {swarming aggregation kernel nonlocal}, Month = {Jan.}, Number = {1}, Pages = {45-83}, Title = {${L}^p$ Theory for the Multidimensional Aggregation Equation}, Volume = {64}, Year = {2011}, Bdsk-File-1 = {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}} @article{HolPut2005, Abstract = {New model equations are derived for dynamics of aggregation of finite-size particles. The differences from standard Debye-Huckel and Keller-Segel models are that the mobility of particles depends on the configuration of their neighbors and linear diffusion acts on locally averaged particle density. The evolution of collapsed states in these models reduces exactly to finite-dimensional dynamics of interacting particle clumps. Simulations show these collapsed ( clumped) states emerge from smooth initial conditions, even in one spatial dimension. Extensions to two and three dimenstions are also discussed.}, Author = {Holm, D. D. and Putkaradze, V.}, Date-Added = {2010-03-23 14:07:03 -0500}, Date-Modified = {2010-08-04 09:02:55 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Nov.}, Number = {22}, Pages = {226106.1 - 226106.4}, Title = {Aggregation of Finite Size Particles with Variable Mobility}, Volume = {95}, Year = {2005}, Bdsk-File-1 = {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}} @article{HolPut2006, Abstract = {New model equations are derived for the dynamics of self-aggregation of finite-size particles. Differences from standard Debye-Huckel [P. Debye. E. Huckel, Zur Theorie der Elektrolyte: (2): Das Grenzgesetz fur die Elektrische Leiftfahrigkeit (On the theory of electrolytes 2: limiting law of electrical conductivity), Phys. Z. 24 (1923) 305-325] and Keller-Segel [E.F. Keller, L.A. Segel, J. Theoret. Biol. 26 (1970) 399-415: EF Keller, L.A. Segel, J. Theoret. Biol. 30 (1971) 225-234] models are: (a) the mobility p of particles depends on the locally averaged particle density and (b) linear diffusion acts on that locally averaged particle density. The cases both with and without diffusion are considered here. Surprisingly, these simple modifications of standard models allow progress in the analytical description of evolution as well as the complete analysis of stationary states. When mu remains positive, the evolution of collapsed states in our model reduces exactly to finite dimensional dynamics of interacting particle clumps. Simulations show these collapsed (clumped) states emerging from smooth initial conditions, even in one spatial dimension. If mu vanishes for some averaged density, the evolution leads to the spontaneous formation of jammed patches (a weak solution with the density having compact support). Simulations confirm that a combination of these patches forms the final state for the system. (c) 2006 Elsevier B.V. All rights reserved.}, Author = {Holm, D. D. and Putkaradze, V.}, Author-Keywords = {gradient flows; blow-up; chemotaxis; parabolic-elliptic system; singular solutions}, Date-Added = {2010-03-23 14:02:30 -0500}, Date-Modified = {2010-03-23 14:03:29 -0500}, Journal = {Physica D}, Keywords = {ION-TRANSPORT; ARRAYS; NANOPARTICLES; EQUATIONS; PATTERNS; COLLOIDS; CHANNELS; GROWTH}, Month = {Aug.}, Number = {2}, Pages = {183-196}, Title = {Formation of Clumps and Patches in Self-Aggregation of Finite-Size Particles}, Volume = {220}, Year = {2006}, Bdsk-File-1 = {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}} @article{Uch1996, Abstract = {A system of a large number of classical particles moving on a one-dimensional segment with virtually reflecting boundaries is studied. The pal-tides interact with one another through repulsive pair-potential forces and are subjected to resistance proportional to their velocities. Because of the latter it is only the number of particles that is conserved under the evolution of the system. It is proved that in the hydrodynamic limit of diffusion type scaling the normalized counting measure of particle locations converges and its limiting density is governed by a non-linear diffusion equation which in typical cases is of porous media equation type.}, Author = {Uchiyama, K.}, Date-Added = {2010-03-23 13:46:40 -0500}, Date-Modified = {2010-03-23 14:47:54 -0500}, Journal = {Comm. Math. Phys.}, Keywords = {swarm aggregation discrete continuum}, Number = {1}, Pages = {103-128}, Title = {Scaling Limit for a Mechanical System of Interacting Particles}, Volume = {177}, Year = {1996}, Bdsk-File-1 = {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}} @article{Uch1998, Abstract = {A system of a large number of classical particles moving on a one-dimensional segment with virtually reflecting boundaries is studied. The particles interact with one another through repulsive pair-potential forces and are subject to resistance proportional to their velocities. Because of the latter it is only the number of particles that is conserved under the evolution of the system. It is established that under suitable scaling of space and time the normalized counting measure of particle locations converges and its limiting measure is governed by a non-linear evolution equation, which is local (diffusion equation) or non-local (integral equation) according as the tail of the potential is bounded by 1/\x\ or obeys the power law 1/\x\(gamma) with 0 < gamma < 1. The scaling also depends on the tail of the potential.}, Author = {Uchiyama, K.}, Date-Added = {2010-03-23 13:46:38 -0500}, Date-Modified = {2010-03-23 14:48:07 -0500}, Journal = {Comm. Math. Phys.}, Keywords = {swarm aggregation discrete continuum}, Number = {3}, Pages = {681-701}, Title = {Scaling Limit for a Mechanical System of Interacting Particles II}, Volume = {196}, Year = {1998}, Bdsk-File-1 = {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}} @article{Mur2001, Abstract = {We study the hydrodynamic limit of a deterministic one-dimensional particle system with nearest neighbour interaction and an additional regularizing force. Under its evolution mass and momentum are conserved. In the Limit with Euler scaling their macroscopic distributions are shown to be governed by the compressible Navier-Stokes equations with a density dependent viscosity.}, Author = {Murmann, M. G.}, Date-Added = {2010-03-23 13:44:04 -0500}, Date-Modified = {2010-03-23 13:45:24 -0500}, Journal = {J. Stat. Phys.}, Keywords = {interacting particle system; hydrodynamic limit; Euler scaling; conserved quantities; local equilibrium; compressible Navier-Stokes equations}, Number = {3-4}, Pages = {483-510w}, Title = {The Hydrodynamic Limit of a Deterministic Particle System with Conservation of Mass and Momentum}, Volume = {105}, Year = {2001}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfIAAAAAAfIAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugtNdXIyMDAxLnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbYxwiXPPAAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMImFYwAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBrTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoATXVyMjAwMS5wZGYAAA4AGAALAE0AdQByADIAMAAwADEALgBwAGQAZgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFVVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL011cjIwMDEucGRmAAATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBNLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvTXVyMjAwMS5wZGbSHB0kJaIlIVxOU0RpY3Rpb25hcnkSAAGGoF8QD05TS2V5ZWRBcmNoaXZlcgAIABEAFgAfACgAMgA1ADoAPABFAEsAUgBdAGUAbABvAHEAcwB2AHgAegB8AIYAkwCYAKAClgKYAp0CpgKxArUCwwLKAtMDIwMoAysDOAM9AAAAAAAAAgEAAAAAAAAAKAAAAAAAAAAAAAAAAAAAA08=}} @article{DobFri1977, Author = {L., Dobrushin R. and Fritz, J.}, Date-Added = {2010-03-23 13:40:28 -0500}, Date-Modified = {2010-03-23 13:42:07 -0500}, Journal = {Comm. Math. Phys.}, Keywords = {swarm aggregation discrete}, Number = {3}, Pages = {275-292}, Title = {Nonequilibrium Dynamics of One-Dimensional Inifinite Particel Systems with a Hard-Core Interaction}, Volume = {55}, Year = {1977}, Bdsk-File-1 = {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}} @article{BerBra2010, Author = {Bertozzi, A. L. and Brandman, J.}, Date-Added = {2010-03-23 13:17:59 -0500}, Date-Modified = {2010-08-04 08:57:18 -0500}, Journal = {Comm. Math. Sci.}, Keywords = {swarm continuum}, Number = {1}, Pages = {45-65}, Title = {Finite-Time Blow-Up of ${L}^\infty$-Weak Solutions of an Aggregation Equation}, Volume = {8}, Year = {2010}, Bdsk-File-1 = {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}} @article{BerLau2009, Author = {Bertozzi, A. L. and Laurent, T.}, Date-Added = {2010-03-23 13:17:59 -0500}, Date-Modified = {2010-03-23 13:21:49 -0500}, Journal = {Chinese Ann. Math. Ser. B}, Keywords = {swarm aggregation continuum}, Number = {5}, Pages = {463-482}, Title = {The Behavior of Solutions of Multidimensional Aggregation Equations with Mildly Singular Interaction Kernels}, Volume = {30}, Year = {2009}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfwAAAAAAfwAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug5CZXJMYXUyMDA5LnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALWAjx858hgAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMfOwtYAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBuTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAQmVyTGF1MjAwOS5wZGYADgAeAA4AQgBlAHIATABhAHUAMgAwADAAOQAuAHAAZABmAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAWFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvQmVyTGF1MjAwOS5wZGYAEwABLwAAFQACAAv//wAAgAXSHB0eH1gkY2xhc3Nlc1okY2xhc3NuYW1lox8gIV1OU011dGFibGVEYXRhVk5TRGF0YVhOU09iamVjdF8QUC4uL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0JlckxhdTIwMDkucGRm0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAqACogKnArACuwK/As0C1ALdAzADNQM4A0UDSgAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANc}} @article{MerMyeWeb2006, Abstract = {We discuss some theory concerning directional data and introduce a suite of statistical tools that researchers interested in the directional movement of animal groups can use to analyse results from their models. We illustrate these tools by analysing the results of a model of groups moving under the duress of certain informed indistinguishable individuals, that arises in the context of honeybee (Apis mellifera) swarming behaviour. We modify an existing model of collective motion, based on inter-individual social interactions, allowing knowledgeable individuals to guide group members to the goal by travelling through the group in a direct line aligned with the goal direction. (c) 2006 Elsevier Inc. All rights reserved.}, Author = {Merrifield, A. and Myerscough, Mary R. and Weber, N.}, Date-Added = {2010-03-18 20:43:36 -0500}, Date-Modified = {2010-03-18 20:44:18 -0500}, Journal = {Math. Biosci.}, Keywords = {spherical hypothesis tests; directional data; swarm guidance; self-organisation; honeybee; Apis mellifera}, Month = {Sep.}, Number = {1}, Pages = {64-78}, Title = {Statistical Tests for Analysing Directed Movement of Self-Organising Animal Groups}, Volume = {203}, Year = {2006}, Bdsk-File-1 = {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}} @article{ShoBraBer2010, Abstract = {The mechanisms driving the nucleation, spread, and dissipation of crime hotspots are poorly understood. As a consequence, the ability of law enforcement agencies to use mapped crime patterns to design crime prevention strategies is severely hampered. We also lack robust expectations about how different policing interventions should impact crime. Here we present a mathematical framework based on reaction-diffusion partial differential equations for studying the dynamics of crime hotspots. The system of equations is based on empirical evidence for how offenders move and mix with potential victims or targets. Analysis shows that crime hotspots form when the enhanced risk of repeat crimes diffuses locally, but not so far as to bind distant crime together. Crime hotspots may form as either supercritical or subcritical bifurcations, the latter the result of large spikes in crime that override linearly stable, uniform crime distributions. Our mathematical methods show that subcritical crime hotspots may be permanently eradicated with police suppression, whereas supercritical hotspots are displaced following a characteristic spatial pattern. Our results thus provide a mechanistic explanation for recent failures to observe crime displacement in experimental field tests of hotspot policing.}, Author = {Short, Martin B. and Brantingham, P. Jeffrey and Bertozzi, Andrea L. and Tita, George E.}, Date-Added = {2010-03-15 07:29:32 -0500}, Date-Modified = {2010-03-15 07:30:37 -0500}, Journal = {Proc. Natl. Acad. Sci.}, Keywords = {crime}, Month = {Mar.}, Number = {9}, Title = {Dissipation and Displacement of Hotspots in Reaction-Diffusion Models of Crime}, Volume = {107}, Year = {2010}, Bdsk-File-1 = {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}} @article{BruMel1994, Author = {Brualdi, R. A. and Mellendorf, S.}, Date-Added = {2010-03-09 12:34:05 -0600}, Date-Modified = {2010-03-09 12:35:12 -0600}, Journal = {Amer. Math. Month.}, Keywords = {gerschgorin circle eigenvalue}, Month = {Dec.}, Number = {10}, Pages = {975-985}, Title = {Regions in the Complex Plane Containing the Eigenvalues of a Matrix}, Volume = {101}, Year = {1994}, Bdsk-File-1 = {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}} @article{MedKot2003, Abstract = {We investigate an integro-differential equation for a disease spread by the dispersal of infectious individuals and compare this to Mollison's [Adv. Appl. Probab. 4 (1972) 233; D. Mollison, The rate of spatial propagation of simple epidemics, in: Proc. 6th Berkeley Symp. on Math. Statist. and Prob., vol. 3, University of California Press, Berkeley, 1972, p. 579; J. R. Statist. Soc. B 39 (3) (1977) 283] model of a disease spread by non-local contacts. For symmetric kernels with moment generating functions, spreading infectives leads to faster traveling waves for low rates of transmission, but to slower traveling waves for high rates of transmission. We approximate the shape of the traveling waves for the two models using both piecewise linearization and a regular-perturbation scheme.}, Author = {Medlock, J. and Kot, M.}, Date-Added = {2010-03-03 12:06:03 -0600}, Date-Modified = {2010-03-03 12:07:15 -0600}, Journal = {Math. Biosci.}, Keywords = {distributed contacts infectives spatial epidemic}, Month = {Aug.}, Number = {2}, Pages = {201-222}, Title = {Spreading Disease: Integro-Differential Equations Old and New}, Volume = {184}, Year = {2003}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfwAAAAAAfwAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug5NZWRLb3QyMDAzLnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALWY1x7QA7QAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMe0VU0AAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBuTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoATWVkS290MjAwMy5wZGYADgAeAA4ATQBlAGQASwBvAHQAMgAwADAAMwAuAHAAZABmAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAWFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvTWVkS290MjAwMy5wZGYAEwABLwAAFQACAAv//wAAgAXSHB0eH1gkY2xhc3Nlc1okY2xhc3NuYW1lox8gIV1OU011dGFibGVEYXRhVk5TRGF0YVhOU09iamVjdF8QUC4uL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL01lZEtvdDIwMDMucGRm0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAqACogKnArACuwK/As0C1ALdAzADNQM4A0UDSgAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANc}} @article{Fed2001, Abstract = {We studied the propagation of traveling fronts into an unstable state of the reaction-transport systems involving integral transport. By using a hyperbolic scaling procedure and singular perturbation tech- niques, we determined a Hamiltonian structure of reaction-transport equations. This structure allowed us to derive asymptotic formulas for the propagation rate of a reaction front. We showed that the macro- scopic dynamics of the front are ``nonuniversal'' and depend on the choice of the underlying random walk model for the microscopic transport process.}, Author = {Fedotov, Sergei}, Date-Added = {2010-03-03 12:01:28 -0600}, Date-Modified = {2010-03-03 12:03:42 -0600}, Journal = {Phys. Rev. Lett.}, Keywords = {spatial epidemic distributed infectives}, Number = {5}, Pages = {926-929}, Title = {Front Propagation into an Unstable State of Reaction-Transport Systems}, Volume = {86}, Year = {2001}, Bdsk-File-1 = {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}} @inproceedings{Mol1972b, Address = {Berkeley, CA}, Author = {Mollison, D.}, Booktitle = {Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability}, Date-Added = {2010-03-03 11:43:54 -0600}, Date-Modified = {2010-03-03 11:45:52 -0600}, Pages = {579-614}, Publisher = {Univ. of Calif. Press}, Title = {The Rate of Spatial Propagation of Simple Epidemics}, Volume = {3}, Year = {1972}} @article{Mol1972, Abstract = {It is here shown that for a deterministic simple epidemic in which the spatial distribution of the contacts made by an infectious individual is negative exponential, propagation of the epidemic as a travelling wave is only possible for velocities at or above a certain minimal velocity; and that there exists exactly one waveform for each such velocity. The method employed is to reduce the equation of propagation to a three-dimensional autonomous differential equation, and attack this mainly using topological considerations. This result is similar to those obtained by Kolmogoroff et al. (1937) for the advance of an advantageous gene, and by Kendall (1965) for the deterministic "general" epidemic, but these were achieved using the considerable simplification of approximating the spatial dependence by a diffusion term in the equation of propagation. Taken together with Mollison (1972), in which it was shown that when the spatial distribution of contacts (V) is more spread than negative exponential (∫ eksdV(s) divergent for all $k>0$), no finite bound can be set on the velocity of propagation: the present work suggests that the diffusion-term approximations may be reasonable if, as well as only if, V is less spread than negative exponential.}, Author = {Mollison, D.}, Date-Added = {2010-03-03 11:38:28 -0600}, Date-Modified = {2010-03-03 11:40:19 -0600}, Journal = {Adv. Appl. Prob.}, Keywords = {epidemic nonlocal distributed contacts}, Number = {2}, Pages = {233-257}, Title = {Possible Velocities for a Simple Epidemic}, Volume = {4}, Year = {1972}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfIAAAAAAfIAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugtNb2wxOTcyLnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALdLMx7P7BwAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMe0T2cAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBrTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoATW9sMTk3Mi5wZGYAAA4AGAALAE0AbwBsADEAOQA3ADIALgBwAGQAZgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFVVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL01vbDE5NzIucGRmAAATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBNLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvTW9sMTk3Mi5wZGbSHB0kJaIlIVxOU0RpY3Rpb25hcnkSAAGGoF8QD05TS2V5ZWRBcmNoaXZlcgAIABEAFgAfACgAMgA1ADoAPABFAEsAUgBdAGUAbABvAHEAcwB2AHgAegB8AIYAkwCYAKAClgKYAp0CpgKxArUCwwLKAtMDIwMoAysDOAM9AAAAAAAAAgEAAAAAAAAAKAAAAAAAAAAAAAAAAAAAA08=}} @incollection{Ken1965, Address = {London}, Author = {Kendall, D. G.}, Booktitle = {Mathematics and Computer Science in Biology and Medicine}, Date-Added = {2010-03-03 11:35:19 -0600}, Date-Modified = {2010-03-03 11:36:30 -0600}, Pages = {213-225}, Publisher = {H.M. Stationery Off.}, Title = {Mathematical Models of the Spread of Infection}, Year = {1965}} @incollection{Rua2006, Address = {New York}, Author = {Ruan, S.}, Booktitle = {Mathematics for Life Sciences and Medicine}, Date-Added = {2010-03-03 09:06:42 -0600}, Date-Modified = {2010-03-03 09:08:56 -0600}, Editor = {Takeuchi, Y. and Sato, K. and Iwasa, Y.}, Keywords = {epidemic nonlocal}, Pages = {99-122}, Publisher = {Springer-Verlag}, Title = {Spatial-Temporal Dynamics in Nonlocal Epidemiological Models}, Volume = {2}, Year = {2006}, Bdsk-File-1 = {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}} @book{Mur2002, Address = {New York}, Author = {Murray, J. D.}, Date-Added = {2010-03-03 09:03:31 -0600}, Date-Modified = {2010-03-03 09:03:31 -0600}, Edition = {Third}, Number = {17}, Publisher = {Springer}, Series = {Interdisciplinary Applied Mathematics}, Title = {Mathematical Biology I: An Introduction}, Year = {2002}} @article{Ber1760, Author = {Bernoulli, Daniel}, Date-Added = {2010-03-03 08:20:02 -0600}, Date-Modified = {2010-03-03 08:28:39 -0600}, Journal = {Mem. Math. Phy. Acad. Roy. Sci. Paris}, Pages = {1-45}, Title = {Essai d'Une Nouvelle Analyse de la Mortalit\'{e} Caus\'{e}e par la Petite V\'{e}role}, Year = {1760}} @article{BloBer2004, Author = {Blower, Sally and Bernoulli, Daniel}, Date-Added = {2010-03-03 08:15:40 -0600}, Date-Modified = {2010-03-03 08:19:16 -0600}, Journal = {Rev. Med. Virol.}, Keywords = {epidemic}, Number = {5}, Pages = {275-88}, Title = {An Attempt at a New Analysis of the Mortality Caused by Smallpox and of the Advantages of Inoculation to Prevent It}, Volume = {14}, Year = {2004}, Bdsk-File-1 = {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}} @article{PhysRevE.81.026213, Abstract = {We study time-periodic forcing of spatially extended patterns near a Turing-Hopf bifurcation point. A symmetry-based normal form analysis yields several predictions, including that (i) weak forcing near the intrinsic Hopf frequency enhances or suppresses the Turing amplitude by an amount that scales quadratically with the forcing strength, and (ii) the strongest effect is seen for forcing that is detuned from the Hopf frequency. To apply our results to specific models, we perform a perturbation analysis on general two-component reaction-diffusion systems, which reveals whether the forcing suppresses or enhances the spatial pattern. For the suppressing case, our results are consistent with features of previous experiments on the chlorine dioxide-iodine-malonic acid chemical reaction. However, we also find examples of the enhancing case, which has not yet been observed in experiment. Numerical simulations verify the predicted dependence on the forcing parameters.}, Author = {Topaz, Chad M. and Catll\'{a}, Anne J.}, Date-Added = {2010-02-26 08:43:34 -0600}, Date-Modified = {2010-02-26 08:44:37 -0600}, Journal = {Phys. Rev. E}, Keywords = {Turing Hopf forcing bifurcation pattern lengyel epstein brusselator}, Month = {Feb.}, Number = {2}, Pages = {026213}, Title = {Forced Patterns Near a {T}uring-{H}opf Bifurcation}, Volume = {81}, Year = {2010}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfwAAAAAAfwAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug5Ub3BDYXQyMDEwLnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALdGvx603qgAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMetjAoAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBuTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAVG9wQ2F0MjAxMC5wZGYADgAeAA4AVABvAHAAQwBhAHQAMgAwADEAMAAuAHAAZABmAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAWFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvVG9wQ2F0MjAxMC5wZGYAEwABLwAAFQACAAv//wAAgAXSHB0eH1gkY2xhc3Nlc1okY2xhc3NuYW1lox8gIV1OU011dGFibGVEYXRhVk5TRGF0YVhOU09iamVjdF8QUC4uL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1RvcENhdDIwMTAucGRm0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAqACogKnArACuwK/As0C1ALdAzADNQM4A0UDSgAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANc}} @article{Nob1974, Author = {Noble, J. V.}, Date-Added = {2010-02-23 11:48:07 -0600}, Date-Modified = {2010-02-23 11:48:50 -0600}, Journal = {Nature}, Journal-Full = {Nature}, Keywords = {Disease Outbreaks; Europe; History, Medieval; Humans; Models, Biological; Plague; Population Density; Spatial; Epidemic; Diffusion}, Month = {Aug.}, Number = {5469}, Pages = {726-9}, Title = {Geographic and Temporal Development of Plagues}, Volume = {250}, Year = {1974}, Bdsk-File-1 = {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}} @article{KalArcMur1985, Author = {Kallen, A. and Arcuri, P. and Murray, J. D.}, Date-Added = {2010-02-23 11:43:26 -0600}, Date-Modified = {2010-02-23 11:44:36 -0600}, Journal = {J. Theor. Bio.}, Keywords = {epidemic spatial diffusion disease}, Number = {3}, Pages = {377-393}, Title = {A Simple Model for the Spatial Spread and Control of Rabies}, Volume = {116}, Year = {1985}, Bdsk-File-1 = {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}} @article{MurStaBro1986, Author = {Murray, J. D. and Stanley, E. A. and Brown, D. L.}, Date-Added = {2010-02-23 11:40:25 -0600}, Date-Modified = {2010-02-23 11:44:31 -0600}, Journal = {Proc. Roy. Soc. Lon. B}, Keywords = {epidemic spatial diffusion disease}, Month = {Nov.}, Number = {1255}, Pages = {111-150}, Title = {On the Spatial Spread of Rabies Among Foxes}, Volume = {229}, Year = {1986}, Bdsk-File-1 = {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}} @incollection{SanWanCas2007, Address = {New York}, Annote = {LDR 03700cam 22004577a 4500 001 14923367 005 20070928152516.0 008 070711s2007 ne a b 001 0 eng d 906 $a7$bcbc$ccopycat$d2$encip$f20$gy-gencatlg 925 0 $aacquire$b2 shelf copies$xpolicy default 955 $apv12 2007-07-11 z-processor 2 copies to ASCD$ijx85 200 7-08-17$ejx85 2007-08-17 one copy to Dewey and one copy to BCCD$aaa29 2007-09-28 010 $a 2007277599 016 7 $a101304360$2DNLM 020 $a9780123694294 (alk. paper) 020 $a0123694299 (alk. paper) 035 $a(OCoLC)ocn122255832 040 $aNLM$cNLM$dUAT$dSUC$dBAKER$dYDXCP$dIXA$dOHX$dWEA$dBTCTA$dDLC 042 $anlmcopyc$alccopycat 050 00 $aRC489.R44$bT45 2007 060 00 $a2007 D-912 060 10 $aWM 400$bT45 2007 082 00 $a616.89/1$222 245 00 $aTherapist's guide to evidence-based relapse prevention /$cedited by Katie A. Witkiewitz, G. Alan Marlatt. 246 30 $aEvidence-based relapse prevention 260 $aAmsterdam ;$aBoston :$bElsevier Academic Press,$cc2007. 300 $axvi, 377 p. :$bill. ;$c23 cm. 440 0 $aPractical resources for the mental health professional 504 $aIncludes bibliographical references and index. 505 00 $tOverview of relapse prevention ;$tHigh-risk situations : relapse as a dynamic process /$rKatie Witkiewitz and G. Alan Marlatt --$tRelapse prevention : clinical strategies for substance use disorders /$rAntoine Douaihy ... [et al.] --$tMindfulness-based cognitive therapy as a relapse prevention approach to depression /$rMark A. Lau and Zindel V. Segal --$tRelapse prevention for return of pathological worry of CBT-treated GAD /$rUrsula Whiteside ... [et al.] --$tRelapse prevention for schizophrenia /$rDouglas Ziedonis, Philip T. Yanos, and Steven M. Silverstein --$tSeeking safety : an evidence-based model for substance abuse and trauma/PTSD /$rLisa M. Najavits --$tRelapse prevention for eating disorders /$rTanya R. Schlam and G. Terence Wilson --$tStopping self-harm once and for all : relapse prevention in dialectical behavior therapy /$rMilton Brown and Alex Chapman --$tTreatment of sexual offenders : relapse prevention and beyond /$rPamela M. Yates and Tony Ward --$tFocus on families : integration of relapse prevention and child drug abuse prevention training with parents in methadone treatment /$rRichard F. Catalano ... [et al.] --$tRelapse prevention with Hispanic and other racial/ethnic populations : can cultural resilience promote relapse prevention? /$rFelipe Gonz{\'a}lez Castro, Erica Nichols, and Karissa Kater --$tRelapse prevention for adolescent substance abuse : overview and case examples /$rDanielle E. Ramo, Mark G. Myers, and Sandra A. Brown --$tRelapse prevention with older adults /$rFrederic C. Blow, Laurie M. Brockmann, and Kristen L. Barry --$tUtilizing relapse prevention with offender populations : what works /$rCraig Dowden and Don A. Andrews --$tDrinking as an epidemic-- a simple mathematical model with recovery and relapse /$rFabio S{\'a}nchez ... [et al.]. 650 12 $aMental Disorders$xtherapy. 650 12 $aRecurrence$xprevention & control. 650 22 $aEvidence-Based Medicine. 650 22 $aSubstance-Related Disorders$xtherapy. 650 0 $aMental illness$xRelapse$xPrevention. 650 0 $aSubstance abuse$xRelapse$xPrevention. 650 0 $aMental illness$xTreatment. 650 0 $aSubstance abuse$xTreatment. 700 1 $aWitkiewitz, Katie. 700 1 $aMarlatt, G. Alan. 856 41 $3Table of contents only$uhttp://www.loc.gov/catdir/toc/fy0715/2007277599.html 856 42 $3Publisher description$uhttp://www.loc.gov/catdir/enhancements/fy0733/2007277599-d.html }, Author = {S\'{a}nchez, F. and Wang, X. and Castillo-Ch\'{a}vez, C and Gorman, D. M. and Gruenewal, P. J.}, Booktitle = {Therapist's guide to evidence-based relapse prevention}, Call-Number = {RC489.R44}, Date-Added = {2010-02-21 11:00:07 -0600}, Date-Modified = {2010-02-21 11:06:13 -0600}, Dewey-Call-Number = {616.89/1}, Editor = {Witkiewitz, Katie and Marlatt, G. Alan}, Genre = {Mental Disorders}, Isbn = {9780123694294 (alk. paper)}, Library-Id = {2007277599}, Pages = {353-368}, Publisher = {Academic Press}, Title = {Drinking as an Epidemic: A Simple Mathematical Model with Recovery and Relapse}, Year = {2007}, Bdsk-Url-1 = {http://www.loc.gov/catdir/toc/fy0715/2007277599.html}} @book{Ede2005, Address = {Philadelphia}, Annote = {LDR 01338cam 22002894a 4500 001 13814770 005 20060725092132.0 008 041214r20051988paua b 001 0 eng 906 $a7$bcbc$corignew$d2$eepcn$f20$gy-gencatlg 925 0 $aacquire$b2 shelf copies$xpolicy default 955 $apc17 2004-12-14$ajb00 2006-02-10$cjb11 2006-02-15; to subj.$djb08 2006-03-27$ejb08 2006-03-27 to Dewey (2 c.)$aaa07 2006-04-12 010 $a 2004117719 020 $a0898715547 040 $aDLC$cDLC$dDLC 042 $apcc 050 00 $aQH323.5$b.E34 2005 082 00 $a570.1/5118$222 100 1 $aEdelstein-Keshet, Leah. 245 10 $aMathematical models in biology /$cLeah Edelstein-Keshet. 260 $aPhiladelphia :$bSociety for Industrial and Applied Mathematics,$cc2005. 300 $axliii, 586 p. :$bill. ;$c24 cm. 440 0 $aClassics in applied mathematics ;$v46 500 $aOriginally published: 1st ed. New York : Random House, 1988, in series: The Random House/Birkh{\"a}user mathematics series. With new pref. and slight corrections. 504 $aIncludes bibliographical references and indexes. 650 0 $aBiology$xMathematical models. 856 41 $3Table of contents$uhttp://www.loc.gov/catdir/toc/fy0606/2004117719.html 856 42 $3Publisher description$uhttp://www.loc.gov/catdir/enhancements/fy0664/2004117719-d.html }, Author = {Edelstein-Keshet, Leah}, Call-Number = {QH323.5}, Date-Added = {2010-02-20 12:30:18 -0600}, Date-Modified = {2010-02-20 12:31:13 -0600}, Dewey-Call-Number = {570.1/5118}, Genre = {Biology}, Isbn = {0898715547}, Library-Id = {2004117719}, Publisher = {Society for Industrial and Applied Mathematics}, Title = {Mathematical models in biology}, Volume = {46}, Year = {2005}, Bdsk-Url-1 = {http://www.loc.gov/catdir/toc/fy0606/2004117719.html}} @book{WeiAda2008, Address = {Princeton, N.J.}, Annote = {LDR 01446cam 2200325 a 4500 001 14968103 005 20090827145411.0 008 070815s2008 njua b 001 0 eng 906 $a7$bcbc$corignew$d1$eecip$f20$gy-gencatlg 925 0 $aacquire$b2 shelf copies$xpolicy default 955 $ajp43 2007-08-15$cjp43 2007-08-15 to subj$djp18 2007-08-16$ejp18 2007-08-16 to Dewey$aaa07 2007-08-17$aps16 2008-05-05 2 copies rec'd., to CIP ver.$fpv03 2008-05-07 Z-CipVer$epv03 2008-07-01 copy 2 to BCCD 010 $a 2007033928 015 $aGBA819771$2bnb 016 7 $a014524546$2Uk 020 $a9780691129495 (clothbound : alk. paper) 020 $a0691129495 (clothbound : alk. paper) 035 $a(OCoLC)ocn165957987 035 $a(OCoLC)165957987 040 $aDLC$cDLC$dBAKER$dBTCTA$dYDXCP$dUKM$dC#P$dDLC 050 00 $aQA276.8$b.W45 2008 082 00 $a519.5/44$222 100 1 $aWeinstein, Lawrence,$d1960- 245 10 $aGuesstimation :$bsolving the world's problems on the back of a cocktail napkin /$cLawrence Weinstein and John A. Adam. 260 $aPrinceton, N.J. :$bPrinceton University Press,$cc2008. 300 $axv, 301 p. :$bill. ;$c19 cm. 504 $aIncludes bibliographical references (p. 295-297) and index. 650 0 $aEstimation theory$vMiscellanea. 650 0 $aProblem solving$vMiscellanea. 700 1 $aAdam, John A. 856 41 $3Table of contents only$uhttp://www.loc.gov/catdir/toc/ecip0725/2007033928.html }, Author = {Weinstein, Lawrence and Adam, John A}, Call-Number = {QA276.8}, Date-Added = {2010-02-19 12:48:11 -0600}, Date-Modified = {2010-02-25 07:23:02 -0600}, Dewey-Call-Number = {519.5/44}, Genre = {Estimation theory}, Isbn = {9780691129495 (clothbound : alk. paper)}, Library-Id = {2007033928}, Publisher = {Princeton University Press}, Title = {Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin}, Year = {2008}, Bdsk-Url-1 = {http://www.loc.gov/catdir/toc/ecip0725/2007033928.html}} @book{Dia2010, Address = {Princeton, NJ}, Annote = {LDR 00997cam 22002538a 4500 001 15843856 005 20090801153429.0 008 090730s2010 nju b 001 0 eng 906 $a7$bcbc$corignew$d1$eecip$f20$gy-gencatlg 925 0 $aacquire$b2 shelf copies$xpolicy default 955 $bre05 2009-07-30$cre05 2009-07-30$dre10 2009-07-31telework to Dewey$wrd14 2009-08-01 010 $a 2009029193 020 $a9780691133508 (hardcover : alk. paper) 040 $aDLC$cDLC 050 00 $aGB5014$b.D53 2010 082 00 $a904/.5$222 100 1 $aDiacu, Florin,$d1959- 245 10 $aMegadisasters :$bthe science of predicting the next catastrophe /$cFlorin Diacu. 260 $aPrinceton, NJ :$bPrinceton University Press,$c2010. 263 $a0911 300 $ap. cm. 504 $aIncludes bibliographical references and index. 650 0 $aNatural disasters$xForecasting. 963 $aDale Cotton; phone: 609-258-1410; email: dale_c@press.princeton.edu; bc: marylynn_mccarthy@press.princeton.edu }, Author = {Diacu, Florin}, Call-Number = {GB5014}, Date-Added = {2010-02-19 12:46:57 -0600}, Date-Modified = {2010-02-19 12:46:57 -0600}, Dewey-Call-Number = {904/.5}, Genre = {Natural disasters}, Isbn = {9780691133508 (hardcover : alk. paper)}, Library-Id = {2009029193}, Publisher = {Princeton University Press}, Title = {Megadisasters: the science of predicting the next catastrophe}, Year = {2010}} @book{Ada2003, Address = {Princeton, N.J.}, Annote = {LDR 01252cam 22002654a 4500 001 13281401 005 20050401131243.0 008 030721s2003 njua b 001 0 eng 906 $a7$bcbc$corignew$d1$eocip$f20$gy-gencatlg 925 0 $aacquire$b2 shelf copies$xpolicy default 955 $apc11 2003-07-21 to ASCD$ijp18 2003-07-22 to SL$ejp14 2003-07-23 to Dewey$aaa07 2003-07-25$auf17 2004-05-28$auf27 2004-08-16 2 copies to COP$aps09 2004-10-19 1 copy rec'd., to CIP ver.$fpv17 2004-10-22 CIP ver. to BCCD$ajp18 2005-04-01 c. 2 to BCCD 010 $a 2003055616 020 $a0691114293 (acid-free paper) 040 $aDLC$cDLC$dDLC 042 $apcc 050 00 $aQA401$b.A27 2003 082 00 $a511/.8$222 100 1 $aAdam, John A. 245 10 $aMathematics in nature :$bmodeling patterns in the natural world /$cJohn A. Adam. 260 $aPrinceton, N.J. :$bPrinceton University Press,$cc2003. 300 $axxii, 360 p. :$bill. (some col.) ;$c25 cm. 504 $aIncludes bibliographical references (p. [341]-355) and index. 650 0 $aMathematical models. 856 41 $3Table of contents$uhttp://www.loc.gov/catdir/toc/prin051/2003055616.html 856 42 $3Publisher description$uhttp://www.loc.gov/catdir/description/prin031/2003055616.html }, Author = {Adam, John A}, Call-Number = {QA401}, Date-Added = {2010-02-19 12:45:52 -0600}, Date-Modified = {2010-02-19 12:51:27 -0600}, Dewey-Call-Number = {511/.8}, Genre = {Mathematical models}, Isbn = {0691114293 (acid-free paper)}, Library-Id = {2003055616}, Publisher = {Princeton University Press}, Title = {Mathematics in nature: modeling patterns in the natural world}, Year = {2003}, Bdsk-Url-1 = {http://www.loc.gov/catdir/toc/prin051/2003055616.html}} @book{BarZieByl2000, Address = {Upper Saddle River, N.J.}, Annote = {LDR 01102cam 2200289 a 4500 001 4048510 005 20011004144625.0 008 990429s2000 njua 001 0 eng 035 $9(DLC) 99023820 906 $a7$bcbc$corignew$d1$eocip$f19$gy-gencatlg 925 0 $aacquire$b1 shelf copies$xpolicy default 955 $apc14 to ja00 04-29-99; jp02 05-04-99; jp99 05-07-99; jp14 05-11-99; bk rec'd, to CIP ver. pb08 11-17-99; CIP ver. jp43 11-22-99 to SL; jp14; to BCCD 12-01-99 010 $a 99023820 020 $a0130831298 hardcover 040 $aDLC$cDLC$dDLC 050 00 $aQA303$b.B2828 2000 082 00 $a515$221 100 1 $aBarnett, Raymond A. 245 10 $aApplied calculus for business, economics, life sciences, and social sciences. 246 30 $aApplied calculus 250 $a7th ed. /$bRaymond A. Barnett, Michael R. Ziegler, Karl E. Byleen. 260 $aUpper Saddle River, N.J. :$bPrentice Hall,$cc2000. 300 $axvii, 853 p. :$bill. (some col.) ;$c26 cm. 500 $aIncludes indexes. 650 0 $aCalculus. 700 1 $aZiegler, Michael R. 700 1 $aByleen, Karl. }, Author = {Barnett, Raymond A and Ziegler, Michael R and Byleen, Karl}, Call-Number = {QA303}, Date-Added = {2010-02-19 12:42:47 -0600}, Date-Modified = {2010-02-19 12:42:47 -0600}, Dewey-Call-Number = {515}, Edition = {7th ed.}, Genre = {Calculus}, Isbn = {0130831298 hardcover}, Library-Id = {99023820}, Publisher = {Prentice Hall}, Title = {Applied calculus for business, economics, life sciences, and social sciences}, Year = {2000}} @book{BerRoc2010, Address = {Belmont, CA}, Annote = {LDR 00901cam 2200265 a 4500 001 15241533 005 20090812192709.0 008 080331s2010 caua 001 0 eng 906 $a7$bcbc$corigcop$d2$eepcn$f20$gy-gencatlg 925 0 $aacquire$b2 shelf copies$xpolicy default 955 $bxh11 2009-08-12 z-processor$ixh11 2009-08-12 to BCCD 010 $a 2008926130 020 $a9780547169781 020 $a0547169787 040 $aDLC$cDLC 050 00 $aQA303$b.B525 2010 100 1 $aBerresford, Geoffrey C.,$d1944- 245 10 $aApplied calculus /$cGeoffrey C. Berresford, Andrew M. Rockett. 250 $a5th ed. 260 $aBelmont, CA :$bBrooks/Cole, Cengage Learning,$cc2010. 300 $a1 v. (various pagings) :$bcol. ill. ;$c24 cm. 500 $aIncludes index. 650 0 $aCalculus. 700 1 $aRockett, Andrew Mansfield. 955 $apc14 2008-03-31$axh00 2009-08-12 to USPL/STM }, Author = {Berresford, Geoffrey C. and Rockett, Andrew Mansfield}, Call-Number = {QA303}, Date-Added = {2010-02-19 12:42:21 -0600}, Date-Modified = {2010-02-19 12:42:21 -0600}, Edition = {5th ed}, Genre = {Calculus}, Isbn = {9780547169781}, Library-Id = {2008926130}, Publisher = {Brooks/Cole, Cengage Learning}, Title = {Applied calculus}, Year = {2010}} @book{Hug2006, Address = {Hoboken, NJ}, Annote = {LDR 01274cam 2200289 a 4500 001 14095065 005 20061226151844.0 008 050901s2006 njua 001 0 eng 906 $a7$bcbc$corignew$d1$eocip$f20$gy-gencatlg 925 0 $aacquire$b1 shelf copy$xpolicy default 955 $apc22 2005-09-01 to ASCD$cjp20 2005-09-06 to subj$djp03 2005-09-06$ejp03 2005-09-06 to Dewey$aaa07 2005-09-07$aps08 2006-08-12 1 copy rec'd., to CIP ver.$ajp00 2006-08-21$fjp20 2006-08-24 Z-CipVer$gjp20 2006-08-24 to BCCD 010 $a 2005054226 020 $a0471681210 (pbk. : acid-free paper) 020 $a9780471681212 035 $a(OCoLC)ocm61463870 040 $aDLC$cDLC$dYDX$dBAKER$dDLC 050 00 $aQA303.2$b.A66 2006 082 00 $a515$222 245 00 $aApplied calculus. 250 $a3rd ed. /$bDeborah Hughes-Hallett ... [et al.], with the assistance of Otto K. Bretscher ... [et al.]. 260 $aHoboken, NJ :$bWiley,$cc2006. 300 $axx, 506 p. :$bill. ;$c27 cm. 500 $aIncludes index. 650 0 $aCalculus$vTextbooks. 700 1 $aHughes-Hallett, Deborah. 856 41 $3Table of contents only$uhttp://www.loc.gov/catdir/toc/fy0612/2005054226.html 856 42 $3Publisher description$uhttp://www.loc.gov/catdir/enhancements/fy0625/2005054226-d.html }, Author = {Hughes-Hallett, Deborah}, Call-Number = {QA303.2}, Date-Added = {2010-02-19 12:41:52 -0600}, Date-Modified = {2010-02-19 12:51:43 -0600}, Dewey-Call-Number = {515}, Edition = {3rd ed.}, Genre = {Calculus}, Isbn = {0471681210 (pbk. : acid-free paper)}, Library-Id = {2005054226}, Publisher = {Wiley}, Title = {Applied calculus}, Year = {2006}, Bdsk-Url-1 = {http://www.loc.gov/catdir/toc/fy0612/2005054226.html}} @article{AloSag2009, Abstract = {{Pattern formation induced by noise is a celebrated phenomenon in diverse reaction-diffusion systems. Here we report numerical simulations with the Lengyel-Epstein model for the chlorine dioxide-iodine-malonic acid reaction when perturbed with an external spatiotemporal stochastic forcing in the vicinity of the Hopf and Turing codimension-two bifurcation. Competition between Turing and Hopf modes gives rise to the generation of transient Turing patterns evolving to stationary global oscillations. This situation is reversed by the introduction of external fluctuations and Turing patterns become dominant in this case. The increase in the spatial coherence is found for intermediate noise intensity and small correlation length.}}, Author = {Alonso, Sergio and Sagues, Francesc}, Date-Added = {2010-01-29 20:29:52 -0600}, Date-Modified = {2010-01-29 20:38:30 -0600}, Journal = {Phys. Rev. E}, Keywords = {{bifurcation; fluctuations; noise; organic compounds; pattern formation; reaction-diffusion systems; spatiotemporal phenomena}}, Month = {Sep.}, Number = {3}, Pages = {035203(R)}, Title = {Noise-reversed stability of {T}uring patterns versus {H}opf oscillations near codimension-two conditions}, Volume = {80}, Year = {2009}, Bdsk-File-1 = {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}} @article{PauBabLoi2004, Abstract = {We study two-dimensional spatiotemporal dynamics in an optical system of two identical nonlinear films irradiated from both sides by equal plane waves and show that a wide variety of chaotic behaviors can be obtained near the subcritical pitchfork bifurcation point. The regimes arising in the vicinity of asymmetrical steady state depend on stability of the symmetrical steady state at the same driving field, on interactions of Hopf and Turing instabilities occurring at the asymmetrical branch of solutions; and on a transverse wave number of the Hopf instability band center. The wave number is controlled by a phase shift of the field passed between two films, and the relative order of the Turing and Hopf bifurcations is controlled by a diffusion of charge carrier in a semiconductor media. Chaotic oscillating patterns are formed mainly by transverse Hopf modes rising due to a time delay in the system.}, Author = {Paulau, P. V. and Babushkin, I. V. and Loiko, N. A.}, Date-Added = {2010-01-29 13:49:50 -0600}, Date-Modified = {2010-01-29 20:30:59 -0600}, Journal = {Phys. Rev. E}, Keywords = {Turing Hopf}, Month = {Oct.}, Number = {4}, Pages = {046222}, Title = {Spatiotemporal Chaos Stimulated by Transverse {H}opf Instabilities in an Optical Bilayer System}, Volume = {70}, Year = {2004}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAgoAAAAAAgoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LuhFQYXVCYWJMb2kyMDA0LnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbZhx1TwswAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMdVRRMAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBxTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAUGF1QmFiTG9pMjAwNC5wZGYAAA4AJAARAFAAYQB1AEIAYQBiAEwAbwBpADIAMAAwADQALgBwAGQAZgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFtVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1BhdUJhYkxvaTIwMDQucGRmAAATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBTLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvUGF1QmFiTG9pMjAwNC5wZGbSHB0kJaIlIVxOU0RpY3Rpb25hcnkSAAGGoF8QD05TS2V5ZWRBcmNoaXZlcgAIABEAFgAfACgAMgA1ADoAPABFAEsAUgBdAGUAbABvAHEAcwB2AHgAegB8AIYAkwCYAKACrgKwArUCvgLJAs0C2wLiAusDQQNGA0kDVgNbAAAAAAAAAgEAAAAAAAAAKAAAAAAAAAAAAAAAAAAAA20=}} @article{VanEps2009, Abstract = {{We develop a four-variable model, based on the classic Field-Kores-Noyes mechanism for the oscillatory Belousov-Zhabotinsky (BZ) reaction, that describes recently discovered jumping waves and bubble waves in the BZ reaction in aerosol OT microemulsion and provides insight into their origins. Contrary to suggestions based on previous models, it appears that these phenomena can arise from interaction between a Turing instability and either excitability or a Hopf instability of the steady state, rather than requiring a wave instability. The model should be useful for studying other patterns in BZ microemulsions as well as the behavior of systems of BZ microdroplets coupled through bromine diffusion. (C) 2009 American Institute of Physics. {[}doi: 10.1063/1.3231488]}}, Author = {Vanag, Vladimir K. and Epstein, Irving R.}, Date-Added = {2010-01-29 13:42:51 -0600}, Date-Modified = {2010-01-29 13:42:51 -0600}, Journal = {J. Chem. Phys.}, Month = {{SEP 14}}, Number = {{10}}, Pages = {104512}, Title = {A model for jumping and bubble waves in the {B}elousov-{Z}habotinsky-aerosol {OT} system}, Volume = {{131}}, Year = {{2009}}, Bdsk-File-1 = {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}} @misc{cristiani-2009, Abstract = {This paper proposes an agent-based model which reproduces different structures of animal groups. The shape and structure of the group is the effect of simple interaction rules among individuals: each animal deploys itself depending on the position of a limited number of close group mates. The proposed model is shown to produce clustered formations, as well as lines and V-like formations. The key factors which trigger the onset of different patterns are argued to be the relative strength of attraction and repulsion forces and, most important, the anisotropy in their application.}, Author = {Cristiani, Emiliano and Frasca, Paolo and Piccoli, Benedetto}, Date-Added = {2010-01-27 07:59:18 -0600}, Date-Modified = {2010-01-27 08:01:19 -0600}, Keywords = {Anisotropic interactions, animal groups, coordinated behavior, self-organization, agent-based models}, Title = {Effects of Anisotropic Interactions on the Structure of Animal Groups}, Year = {2009}, Bdsk-File-1 = {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}} @article{SkeBer1990, Author = {Skeel, R. D. and Berzins, M.}, Date-Added = {2010-01-14 11:00:29 -0600}, Date-Modified = {2010-01-14 11:02:09 -0600}, Journal = {SIAM J. Sci. Stat. Comp.}, Month = jan, Number = {1}, Pages = {1-32}, Times-Cited = {48}, Title = {A Method for the Spatial Discretization of Parabolic Equations in One Space Variable}, Volume = {11}, Year = {1990}, Bdsk-File-1 = {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}} @article{ShaRei1997, Abstract = {This paper describes mathematical and software developments for a suite of programs for solving ordinary differential equations in MATLAB.}, Author = {Shampine, L. F. and Reichelt, M. W.}, Date-Added = {2010-01-14 10:58:04 -0600}, Date-Modified = {2010-01-14 10:58:39 -0600}, Journal = {SIAM J. Sci. Comp.}, Keywords = {ordinary differential equations; stiff systems; BDF; Gear method; Rosenbrock method; nonstiff systems; Runge-Kutta method; Adams method; software}, Month = jan, Number = {1}, Pages = {1-22}, Times-Cited = {428}, Title = {The MATLAB ODE Suite}, Volume = {18}, Year = {1997}, Bdsk-File-1 = {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}} @article{OsaYag2001, Author = {Osaki, K. and Yagi, A.}, Date-Added = {2010-01-08 20:50:51 -0600}, Date-Modified = {2010-01-08 20:52:04 -0600}, Journal = {Funkcial. Ekvac.}, Pages = {441-469}, Title = {Finite Dimensional Attractor for One-Dimensional {K}eller-{S}egel equations}, Volume = {44}, Year = {2001}, Bdsk-File-1 = {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}} @book{Hol2009, Address = {New York}, Annote = {LDR 00842cam 22002295a 4500 001 15748496 005 20091214145639.0 008 090522s2009 nyu 000 0 eng 906 $a0$bibc$corignew$d2$eepcn$f20$gy-gencatlg 925 0 $aacquire$b2 shelf copies$xpolicy default 955 $apc17 2009-05-22$axh00 2009-09-08 to USPL/STM$axh00 2009-12-14 to USPL/STM 010 $a 2009929235 020 $a9780387877495 (hardcover : alk. paper) 040 $aDLC$cDLC 100 1 $aHolmes, Mark H. 245 10 $aIntroduction to the foundations of applied mathematics /$cMark H. Holmes. 250 $a1st ed. 260 $aNew York :$bSpringer,$c2009. 263 $a0906 300 $ap. cm. 490 0 $aTexts in applied mathematics ;$v56 963 $aLeah; phone: (91) 413 - 4212116; email: leah.paul@integra-india.com; bc: rhea.talbert@springer.com }, Author = {Holmes, M. H}, Date-Added = {2010-01-07 08:14:13 -0600}, Date-Modified = {2010-01-07 08:14:35 -0600}, Edition = {1st ed}, Isbn = {9780387877495 (hardcover : alk. paper)}, Library-Id = {2009929235}, Publisher = {Springer}, Series = {Texts in applied mathematics}, Title = {Introduction to the Foundations of Applied Mathematics}, Volume = {56}, Year = {2009}, Bdsk-File-1 = {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}} @article{ChiPer1981, Abstract = {A simplified Keller-Segel model for the chemotactic movements of cellular slime mold is reconsidered. In particular, we ask for the circumstances under which the cell distribution can autonomously develop a delta-function singularity. By the use of suitable differential inequalities, we show that this cannot happen in the case of one-dimensional aggregation. For three or more dimensions, we produce time developments which do become singular, while in the important special case of two-dimensional motion, we advance arguments that the possibility of chemotactic collapse requires a threshold number of cells in the system.}, Author = {Childress, S. and Percus, J. K.}, Date-Added = {2010-01-04 09:59:43 -0600}, Date-Modified = {2010-01-04 10:01:43 -0600}, Journal = {Math. Biosci.}, Keywords = {chemotaxis keller segel}, Number = {3-4}, Pages = {217-237}, Title = {Nonlinear Aspects of Chemotaxis}, Volume = {56}, Year = {1981}, Bdsk-File-1 = {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}} @article{KelSeg1971b, Abstract = {The chemotactic response of unicellular microscopic organisms is viewed as analogous to Brownian motion. Local assessments of chemical con- centrations made by individual cells give rise to fluctuations in path. When averaged over many cells, or a long time interval, a macroscopic flux is derived which is proportional to the chemical gradient. By way of illustration, the coefficients appearing in the macroscopic flux equations are calculated for a particular microscopic model.}, Author = {Keller, E. F. and Segel, L. A.}, Date-Added = {2010-01-04 09:54:06 -0600}, Date-Modified = {2010-01-04 09:57:26 -0600}, Journal = {J. Theor. Biol.}, Keywords = {chemotaxis}, Pages = {225-234}, Title = {Model for Chemotaxis}, Volume = {30}, Year = {1971}, Bdsk-File-1 = {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}} @article{FayJou2002, Abstract = {Dimension analysis is promoted as a technique that promotes better understanding of the role of units and dimensions in mathematical modelling problems. The authors' student base consists of undergraduate students from the Science and Engineering Faculties who generally have one or two semesters of calculus and some linear algebra as part of their curriculum. Because of 'In Service Training' which is an integral part of their education, they have a reasonable understanding of the link between theory and practice in their particular industry, but manipulating mathematical formulae is not necessarily a strong point. Dimensional analysis involves both dimensionless products and linear algebra and, because of the latter, this branch of mathematical modelling was, until recently, beyond the reach of most undergraduates. However, it has been found that the skills of a good technologist can be blended with the use of computer algebra systems to successfully teach dimensional analysis to these undergraduates. This note illustrates the concept of dimensional analysis by examining the simple pendulum problem and shows how dimensionless products can lead to the discovery of the connection between the period of the pendulum swing and its length. Dimensional analysis is shown to lead to interesting systems of linear equations to solve, and can point the way to more quantitative analysis, and two student problems are discussed. It is the authors' experience that dimensional analysis broadens a student's viewpoint to include units and dimensions as an integral part of any physical problem. With this approach coupled with a computer algebra systems such as DERIVE, students can concentrate on understanding the model and the modelling process rather than the solution technique. Finally, it has been observed that students find dimensional analysis fun to do.}, Author = {Fay, T. H. and Joubert, S. V.}, Date-Added = {2010-01-01 08:55:43 -0600}, Date-Modified = {2010-01-01 08:57:25 -0600}, Journal = {Int. J. Math. Sci. Ed. Sci. Tech.}, Keywords = {dimensional analysis}, Month = {Mar}, Number = {2}, Pages = {280-293}, Title = {Dimensional Analysis: an elegant technique for facilitating the teaching of Mathematical Modeling}, Volume = {33}, Year = {2002}, Bdsk-File-1 = {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}} @article{YanEps2004, Abstract = {We study Turing pattern formation in a model reaction-diffusion system with two coupled identical layers. The coupling creates a pitchfork bifurcation, which unfolds the symmetric steady state via primary Turing instability, into a pair of distinct, unstable, asymmetric steady states (a-SS). The a-SS gain stability at a reverse Turing bifurcation. The multiple stabilities created by the coupling generate a corresponding multiplicity of structures, including symmetric, asymmetric, antiphase, and localized Turing patterns. Coexistence and competition of the different types of Turing patterns are studied. A one-dimensional localized structure exhibits striking curvature effects.}, Author = {Yang, L. F. and Epstein, I. R.}, Date-Added = {2009-12-23 11:25:27 -0600}, Date-Modified = {2011-06-03 09:43:12 -0500}, Journal = {Phys. Rev. E}, Keywords = {two layer turing pattern}, Month = Feb., Number = {2}, Pages = {026211}, Title = {Symmetric, Asymmetric, and Antiphase Turing Patterns in a Model System with Two Identical Coupled Layers}, Volume = {69}, Year = {2004}, Bdsk-File-1 = {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}} @article{EpsBerDol2008, Abstract = {Several reaction diffusion systems that exhibit temporal periodicity when well mixed also display spatio-temporal pattern formation in a spatially distributed, unstirred configuration. These patterns can be travelling ( e. g. spirals, concentric circles, plane waves) or stationary in space (Turing structures, standing waves). The behaviour of coupled and forced temporal oscillators has been well studied, but much less is known about the phenomenology of forced and coupled patterns. We present experimental results focusing primarily on coupled patterns in two chemical systems, the chlorine dioxide - iodine - malonic acid reaction and the Belousov Zhabotinsky reaction. The observed behaviour can be simulated with simple chemically plausible models.}, Author = {Epstein, Irving R. and Berenstein, Igal B. and Dolnik, Milos and Vanag, Vladimir K. and Yang, Lingfa and Zhabotinsky, Anatol M.}, Date-Added = {2009-12-23 11:23:00 -0600}, Date-Modified = {2011-05-26 10:09:33 -0500}, Journal = {Phil. Trans. R. Soc. Lon. A}, Keywords = {reaction-diffusion; pattern formation; coupled systems; two layer; turing}, Month = Feb., Number = {1864}, Pages = {397-408}, Title = {Coupled and Forced Patterns in Reaction-Diffusion Systems}, Volume = {366}, Year = {2008}, Bdsk-File-1 = {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}} @article{McIVanEps2009, Abstract = {Using temperature as a control parameter, we observe a transition from stationary Turing patterns at T = 15-20 degrees C to traveling waves at T = 50 degrees C (and above) in the Ru(bpy)(3)(2+)-catalyzed Belousov-Zhabotinsky (BZ) reaction incorporated into the water nanodroplets of a water-in-oil aerosol OT (AOT) microemulsion. At constant chemical composition, molar ratio and droplet fraction, the transition takes place via a series of stable patterns, including oscillatory Turing patterns (at 35-40 degrees C) and reversed oscillatory Turing patterns (at 50 degrees C). We attribute the pattern transitions to a temperature-induced percolation transition of the BZ-AOT microemulsion, implying a change from isolated water nanodroplets to a system-spanning network of water channels.}, Address = {THOMAS GRAHAM HOUSE, SCIENCE PARK, MILTON RD, CAMBRIDGE CB4 0WF, CAMBS, ENGLAND}, Author = {McIlwaine, Rachel and Vanag, Vladimir K. and Epstein, Irving R.}, Date-Added = {2009-12-21 09:58:30 -0600}, Date-Modified = {2009-12-21 09:58:54 -0600}, Doi = {DOI 10.1039/b814825b}, Isi = {000263837200013}, Isi-Recid = {177072538}, Isi-Ref-Recids = {128587947 155245891 83160917 163027626 85922592 109924560 96782101 94818591 90040395 24609932 93306661 112163723 121161377 127919866 177072539 150161603 91832387 132009077 119929070 46793628 36059645 142382374 103056266 101100581 153055217 148980506 104339342 81667719 94533944 111409211 85435716 122573675 123703976 133952486 128685310 91244891 115898928 148631295 132451670 122121993 142474523 145196027 172180706 129392577}, Journal = {Phys. Chem. Chem. Phys.}, Keywords = {Turing Hopf BZ-AOT}, Number = {10}, Pages = {1581-1587}, Publisher = {ROYAL SOC CHEMISTRY}, Times-Cited = {1}, Title = {Temperature control of pattern formation in the Ru(bpy)(3)(2+)-catalyzed BZ-AOT system}, Volume = {11}, Year = {2009}, Bdsk-File-1 = {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}} @article{VanEps2003, Abstract = {Patterns in reaction-diffusion systems generally consist of smooth traveling waves or of stationary, discontinuous Turing structures. Hybrid patterns that blend the properties of waves and Turing structures have not previously been observed. We report observation of dash waves, which consist of wave segments regularly separated by gaps, moving coherently in the Belousov-Zhabotinsky system dispersed in water-in-oil microemulsion. Dash waves emerge from the interaction between excitable and pseudo-Turing-unstable steady states. We are able to generate dash waves in simulations with simple models.}, Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, Author = {Vanag, V.K. and Epstein, I.R.}, Date-Added = {2009-12-21 09:55:51 -0600}, Date-Modified = {2009-12-21 09:56:36 -0600}, Doi = {DOI 10.1103/PhysRevLett.90.098301}, Isi = {000181443300053}, Isi-Recid = {128685310}, Isi-Ref-Recids = {115534822 91907579 72574606 93048444 48791456 86606201 83116240 90157426 60386481 119929070 125345948 88694372 121211352 83955047 128685311 100394843 111409211 49304 122121993 122573675 123703976 96337044 121829152 18996744 107151260}, Journal = {Phys. Rev. Lett.}, Keywords = {Turing Hopf BZ-AOT}, Month = mar, Number = {9}, Publisher = {AMERICAN PHYSICAL SOC}, Times-Cited = {22}, Title = {Dash waves in a reaction-diffusion system}, Volume = {90}, Year = {2003}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfwAAAAAAfwAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug5WYW5FcHMyMDAzLnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALb+px1T1rAAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMdVSgwAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBuTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAVmFuRXBzMjAwMy5wZGYADgAeAA4AVgBhAG4ARQBwAHMAMgAwADAAMwAuAHAAZABmAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAWFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvVmFuRXBzMjAwMy5wZGYAEwABLwAAFQACAAv//wAAgAXSHB0eH1gkY2xhc3Nlc1okY2xhc3NuYW1lox8gIV1OU011dGFibGVEYXRhVk5TRGF0YVhOU09iamVjdF8QUC4uL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1ZhbkVwczIwMDMucGRm0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAqACogKnArACuwK/As0C1ALdAzADNQM4A0UDSgAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANc}} @article{TliManHae1997, Abstract = {We show that in a degenerate optical parametric oscillator with saturable losses for the frequency down-converted field, the steady state can be destabilized via either a Hopf or a Turing instability. The relative order between the two bifurcations is controlled by the linear loss of the saturable absorber. If the Turing bifurcation is subcritical and the Hopf bifurcation occurs in the hysteresis domain involving the homogeneous and inhomogeneous states, steady localized structures are generated below the Hopf bifurcation and time-periodic localized structures are generated above the Hopf bifurcation.}, Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, Author = {Tlidi, M and Mandel, P and Haelterman, M}, Date-Added = {2009-12-21 09:28:04 -0600}, Date-Modified = {2009-12-21 09:28:46 -0600}, Isi = {000071043500045}, Isi-Recid = {103586549}, Isi-Ref-Recids = {91219458 85945987 87930903 91795441 94755651 95555420 39492347 39985114 81667719 103586550 84461572 83888881 85862874 62466605 86690094 53757530 89497505 81103324 89497521 89497554 77099315 100874517 103586552}, Journal = {Phys. Rev. E}, Keywords = {Turing Hopf}, Month = dec, Number = {6}, Pages = {6524-6530}, Publisher = {AMERICAN PHYSICAL SOC}, Times-Cited = {47}, Title = {Spatiotemporal Patterns and Localized Structures in Nonlinear Optics}, Volume = {56}, Year = {1997}, Bdsk-File-1 = {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}} @article{MigAloMun2006, Abstract = {The interaction between Hopf and Turing modes has been the subject of active research in recent years. We present here experimental evidence of the existence of mixed Turing-Hopf modes in a two-dimensional system. Using the photosensitive chlorine dioxide-iodine-malonic acid reaction (CDIMA) and external constant background illumination as a control parameter, standing spots oscillating in amplitude and with hexagonal ordering were observed. Numerical simulations in the Lengyel-Epstein model for the CDIMA reaction confirmed the results.}, Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, Author = {Miguez, David G. and Alonso, Sergio and Munuzuri, Alberto P. and Sagues, Francesco}, Date-Added = {2009-12-18 11:35:12 -0600}, Date-Modified = {2010-01-29 13:38:13 -0600}, Doi = {DOI 10.1103/PhysRevLett.97.178301}, Isi = {000241586800068}, Isi-Recid = {153055217}, Isi-Ref-Recids = {72574606 84569481 90028225 96782101 106182341 122652763 112163723 121161377 74878551 101100581 148631317 145196042 135696629 148980506 111861730 76812059 153055218 84461572 80952237 81667719 120012766 103586549 107047917 134809872 145405391 129392577}, Journal = {Phys. Rev. Lett.}, Month = Oct., Number = {17}, Pages = {178301}, Publisher = {AMERICAN PHYSICAL SOC}, Times-Cited = {8}, Title = {Experimental Evidence of Localized Oscillations in the Photosensitive Chlorine Dioxide-Iodine-Malonic Acid Reaction}, Volume = {97}, Year = {2006}, Bdsk-File-1 = {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}} @article{VanEps2004, Abstract = {Stationary and oscillatory localized patterns (oscillons) are found in the Belousov-Zhabotinsky reaction dispersed in Aerosol OT water-in-oil microemulsion. The experimental findings are analyzed in terms of subcritical Hopf instability, subcritical Turing instability, and their combination.}, Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, Author = {Vanag, V. K. and Epstein, I. R.}, Date-Added = {2009-12-18 11:33:39 -0600}, Date-Modified = {2010-01-29 13:40:56 -0600}, Doi = {DOI 10.1103/PhysRevLett.92.128301}, Isi = {000220524600062}, Isi-Recid = {133952486}, Isi-Ref-Recids = {84516631 104339319 102523151 84569481 109924560 96782101 102086421 22067737 96391432 122012864 84319718 87970142 89391495 79519387 131470068 71821702 105594993 123315932 76169352 67471853 87930903 97186536 115898928 118294490 122573675 123703976 10832489}, Journal = {Phys. Rev. Lett.}, Month = mar, Number = {12}, Pages = {128301}, Publisher = {AMERICAN PHYSICAL SOC}, Times-Cited = {30}, Title = {Stationary and Oscillatory Localized Patterns, and Subcritical Bifurcations}, Volume = {92}, Year = {2004}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfwAAAAAAfwAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug5WYW5FcHMyMDA0LnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbxyx1EAwwAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMdRVSMAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBuTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAVmFuRXBzMjAwNC5wZGYADgAeAA4AVgBhAG4ARQBwAHMAMgAwADAANAAuAHAAZABmAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAWFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvVmFuRXBzMjAwNC5wZGYAEwABLwAAFQACAAv//wAAgAXSHB0eH1gkY2xhc3Nlc1okY2xhc3NuYW1lox8gIV1OU011dGFibGVEYXRhVk5TRGF0YVhOU09iamVjdF8QUC4uL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1ZhbkVwczIwMDQucGRm0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAqACogKnArACuwK/As0C1ALdAzADNQM4A0UDSgAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANc}} @article{Kow2005, Abstract = {This paper deals with a chemotactic model of Keller-Segel type. The main feature of the Keller-Segel model is the possibility of blow-up of solutions in a finite time. To eliminate the possibility of blow-up a modified version of Keller-Segel model is introduced. The blow-up control relies on the presence of a pressure function, which increases faster than a logarithm for high enough cells densities: for such a pressure function the solutions cannot blow up in a finite time. Some other conditions are introduced to ensure the global boundedness. (c) 2004 Elsevier Inc. All rights reserved.}, Address = {525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA}, Author = {Kowalczyk, R}, Date-Added = {2009-12-15 07:35:12 -0600}, Date-Modified = {2009-12-15 07:35:12 -0600}, Doi = {DOI 10.1016/j.jmaa.2004.12.009}, Isi = {000228340300015}, Isi-Recid = {143824912}, Isi-Ref-Recids = {29706029 42858574 125414716 143824913 108121912 118210941 143824914 61401168 143824915 109720356 107874183 128890368 98735064 125634506 98224744 119683953 125895698 78674622 18117702 132376041 116318323 97200727 23977675 143824916 124990103 119339436}, Journal = {Journal of Mathematical Analysis and Applications}, Month = may, Number = {2}, Pages = {566-588}, Publisher = {ACADEMIC PRESS INC ELSEVIER SCIENCE}, Times-Cited = {18}, Title = {Preventing blow-up in a chemotaxis model}, Volume = {305}, Year = {2005}, Bdsk-File-1 = {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}} @article{KanKolWar2007, Abstract = {In the limit of a large mass M > 1 and on a finite interval of length 2L, an equilibrium spike solution to the classical Keller-Segel chemotaxis model with a linear chemotactic function is constructed asymptotically. By calculating an asymptotic formula for the translational eigenvalue for M > 1, it is shown that the equilibrium spike solution is unstable to translations of the spike profile. If in addition L > 1, the equilibrium spike is shown to be metastable as a result of an asymptotically exponentially small eigenvalue. For M > 1 and L > 1, an asymptotic ordinary differential equation for the metastable spike motion is derived that shows that the spike drifts exponentially slowly towards one of the boundaries of the domain. For a certain reduced Keller-Segel model, corresponding to a domain of small length, a solution with a spike at each of the two boundaries is constructed. This solution is found to be metastable, and it is shown that there is an exponentially slow exchange of mass between the two spikes that occurs over very long timescales. For arbitrary initial conditions, energy methods are used to show the global existence of solutions. The relationship between this reduced Keller-Segel model and a Burgers-type equation modelling the upward propagation of a flame front in a finite channel is emphasized. Full numerical computations are used to confirm the asymptotic results.}, Address = {GREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND}, Author = {Kang, K. and Kolokolnikov, T. and Ward, M. J.}, Date-Added = {2009-12-15 07:28:30 -0600}, Date-Modified = {2009-12-15 07:28:46 -0600}, Doi = {DOI 10.1093/imamat/hxl028}, Isi = {000245352500002}, Isi-Recid = {155493699}, Isi-Ref-Recids = {128491940 92395254 44075722 120432511 136692703 137541879 78674622 19534743 104136183 97200727 132118219 149192870 147690135 143953672 109669707 135324394 135324399 126170030}, Journal = {{IMA} Journal of Applied Mathematics}, Month = apr, Number = {2}, Pages = {140-162}, Publisher = {OXFORD UNIV PRESS}, Times-Cited = {0}, Title = {The stability and dynamics of a spike in the 1D Keller-Segel model}, Volume = {72}, Year = {2007}, Bdsk-File-1 = {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}} @article{HilPot2004, Abstract = {Osaki and Yagi (2001) give a proof of global existence for the classical chemotaxis model in one space dimension with use of energy estimates. Here we present an alternative proof which uses the regularity properties of the heat-equation semigroup. With this method we can identify a large selection of admissible spaces, such that the chemotaxis model defines a global semigroup on these spaces. We use scaling arguments to derive the asymptotic profile-of the solutions and we show numerical simulations. Copyright (C) 2004 John Wiley Sons, Ltd.}, Address = {THE ATRIUM, SOUTHERN GATE, CHICHESTER PO19 8SQ, W SUSSEX, ENGLAND}, Author = {Hillen, T and Potapov, A}, Date-Added = {2009-12-15 07:21:39 -0600}, Date-Modified = {2009-12-15 07:21:39 -0600}, Doi = {DOI 10.1002/mma.569}, Isi = {000224233000005}, Isi-Recid = {136692703}, Isi-Ref-Recids = {58272683 134198862 44075722 98735064 119683953 136692704 136692705 120432510 78674622 19534743 21882075 100700870 116318323 136692706 125978477 132118219 101560053 10983723 107413112 119339436}, Journal = {Mathematical Methods In the Applied Sciences}, Keywords = {chemotaxis; global existence; advection-diffusion equations}, Month = oct, Number = {15}, Pages = {1783-1801}, Publisher = {JOHN WILEY \& SONS LTD}, Times-Cited = {9}, Title = {The one-dimensional chemotaxis model: global existence and asymptotic profile}, Type = {Proceedings Paper}, Volume = {27}, Year = {2004}, Bdsk-File-1 = 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@incollection{MunHudIma2009, Author = {Munz, Philip and Hudea, Ioan and Imad, Joe and Smith?, Robert J.}, Booktitle = {Infectious Disease Modelling Research Progress}, Chapter = {4}, Date-Added = {2009-12-07 13:17:33 -0600}, Date-Modified = {2009-12-07 13:21:04 -0600}, Editor = {Tchuenche, J.M. and Chiyaka, C.}, Pages = {133 - 150}, Publisher = {Nova Science Publishers, Inc.}, Title = {When Zombies Attack!: Mathematical Modelling of an Outbreak of Zombie Infection}, Year = {2009}, Bdsk-File-1 = 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@article{Hor2003, Author = {Horstmann, Dirk}, Date-Added = {2009-12-07 13:13:52 -0600}, Date-Modified = {2009-12-27 21:26:39 -0600}, Journal = {Jahresbericht der DMV}, Pages = {103-165}, Title = {From 1970 Until Present: The {K}eller--{S}egel Model in Chemotaxis and its Consequences}, Volume = {105}, Year = {2003}, Bdsk-File-1 = 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@misc{CavCimGia2009, Author = {Cavagna, Andrea and Cimarelli, Alessio and Giardina, Irene and Parisi, Giorgio and Santagati, Raffaele and Stefanini, Fabio and Viale, Massimiliano}, Date-Added = {2009-12-02 15:18:23 -0600}, Date-Modified = {2009-12-02 15:18:47 -0600}, Title = {Scale-free correlations in bird flocks}, Url = {http://www.citebase.org/abstract?id=oai:arXiv.org:0911.4393}, Year = {2009}, Bdsk-File-1 = 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@article{RicMis2009, Abstract = {Turing-Hopf instabilities for reaction-diffusion systems provide spatially inhomogeneous time-periodic patterns of chemical concentrations. In this paper we suggest a way for deriving asymptotic expansions to the limit cycle solutions due to a Hopf bifurcation in two-dimensional reaction systems and we use them to build convenient normal modes for the analysis of Turing instabilities of the limit cycle. They extend the Fourier modes for the steady state in the classical Turing approach, as they include time-periodic fluctuations induced by the limit cycle. Diffusive instabilities can be properly considered because of the non-catastrophic loss of stability that the steady state shows while the limit cycle appears. Moreover, we shall see that instabilities may appear even though the diffusion coefficients are equal. The obtained normal modes suggest that there are two possible ways, one weak and the other strong, in which the limit cycle generates oscillatory Turing instabilities near a Turing-Hopf bifurcation point. In the first case slight oscillations superpose over a dominant steady inhomogeneous pattern. In the second, the unstable modes show an intermittent switching between complementary spatial patterns, producing the effect known as twinkling patterns.}, Address = {233 SPRING ST, NEW YORK, NY 10013 USA}, Author = {Ricard, M. R. and Mischler, S.}, Date-Added = {2009-12-02 14:37:19 -0600}, Date-Modified = {2009-12-02 14:37:46 -0600}, Doi = {DOI 10.1007/s00332-009-9041-6}, Isi = {000269880400002}, Isi-Recid = {183536533}, Isi-Ref-Recids = {155245891 9019958 70006622 114638681 47770194 89421318 145500417 110636505 119561481 102486317 176956551 32213505 101100581 142116342 183536534 36708461 120327203 64777017 38923204 130223876 49304 147221434 63828281 76181053 129379101 151408027 127934599 176956554 175097493 183536535}, Journal = {J. Nonlin. Sci.}, Keywords = {Hopf bifurcation; Turing instabilities; Reaction-diffusion; Averaging}, Month = oct, Number = {5}, Pages = {467-496}, Publisher = {SPRINGER}, Times-Cited = {0}, Title = {{T}uring Instabilities at {H}opf Bifurcation}, Volume = {19}, Year = {2009}, Bdsk-File-1 = {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}} @article{MigMcGMun2009, Abstract = {{We studied the response of a linearly growing domain of the oscillatory chemical chlorine dioxide-iodide-malonic acid (CDIMA) medium to periodic forcing at its growth boundary. The medium is Hopf-, as well as Turing-unstable and the system is convectively unstable. The results confirm numerical predictions that two distinct modes of pattern can be excited by controlling the driving frequency at the boundary, a flow-distributed-oscillation (FDO) mode of traveling waves at low values of the forcing frequency f, and a mode of stationary Turing patterns at high values of f. The wavelengths and phase velocities of the experimental patterns were compared quantitatively with results from dynamical simulations and with predictions from linear dispersion relations. The results for the FDO waves agreed well with these predictions, and obeyed the kinematic relations expected for phase waves with frequencies selected by the boundary driving frequency. Turing patterns were also generated within the predicted range of forcing frequencies, but these developed into two-dimensional structures which are not fully accounted for by the one-dimensional numerical and analytical models. The Turing patterns excited by boundary forcing persist when the forcing is removed, demonstrating the bistability of the unforced, constant size medium. Dynamical simulations at perturbation frequencies other than those of the experiments showed that in certain ranges of forcing frequency, FDO waves become unstable, breaking up into harmonic waves of different frequency and wavelength and phase velocity.}}, Address = {{ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}}, Affiliation = {{Miguez, DG (Reprint Author), Brandeis Univ, Dept Chem, MS015, Waltham, MA 02454 USA. {[}Miguez, David G.] Brandeis Univ, Dept Chem, Waltham, MA 02454 USA. {[}Miguez, David G.] Brandeis Univ, Ctr Complex Syst, Waltham, MA 02454 USA. {[}McGraw, Patrick; Menzinger, Michael] Univ Toronto, Dept Chem, Toronto, ON M5S 3H6, Canada. {[}Munuzuri, Alberto P.] Univ Santiago de Compostela, Grp Fis Non Lineal, Santiago De Compostela 15782, Spain.}}, Article-Number = {{026208}}, Author = {Miguez, David G. and McGraw, Patrick and Munuzuri, Alberto P. and Menzinger, Michael}, Date-Added = {2009-11-22 08:32:54 -0600}, Date-Modified = {2009-11-22 08:35:50 -0600}, Doc-Delivery-Number = {{492EQ}}, Doi = {{10.1103/PhysRevE.80.026208}}, Funding-Acknowledgement = {{DGI (Spain) {[}BFM2000-0348]; Xunta de Galicia (Spain) {[}PGIDT00PX120610PR]; NSERC of Canada }}, Funding-Text = {{This work was supported by the DGI (Spain) under Project No. BFM2000-0348 and Xunta de Galicia (Spain) under Project No. PGIDT00PX120610PR and by the NSERC of Canada.}}, Issn = {{1539-3755}}, Journal = {Phys. Rev. E}, Journal-Iso = {{Phys. Rev. E}}, Keywords = {{boundary layers; chemically reactive flow; flow instability; fluid oscillations; pattern formation; waves}}, Keywords-Plus = {{BELOUSOV-ZHABOTINSKY REACTION; CONVECTIVE INSTABILITY; DYNAMICS; SEGMENTATION; DIFFUSION; NOISE; MODEL; WAVE; ILLUMINATION; TRANSITION}}, Language = {{English}}, Month = {{AUG}}, Number = {{2, Part 2}}, Number-Of-Cited-References = {{40}}, Publisher = {{AMER PHYSICAL SOC}}, Subject-Category = {{Physics, Fluids \& Plasmas; Physics, Mathematical}}, Times-Cited = {{1}}, Title = {Selection of flow-distributed oscillation and {T}uring patterns by boundary forcing in a linearly growing, oscillating medium}, Type = {{Article}}, Unique-Id = {{ISI:000269637900049}}, Volume = {{80}}, Year = {{2009}}, Bdsk-File-1 = {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}} @article{TzoMatVol2009, Abstract = {{Long-wave stability of spatiotemporal patterns near a codimension-2 Turing-Hopf point of the one-dimensional superdiffusive Brusselator model is analyzed. The superdiffusive Brusselator model differs from its regular counterpart in that the Laplacian operator of the regular model is replaced by partial derivative(alpha)/partial derivative |xi|(alpha), 1 < alpha < 2, an integro-differential operator that reflects the nonlocal behavior of superdiffusion. The order of the operator, alpha, is a measure of the rate of superdiffusion, which, in general, can be different for each of the two components. We first find the basic (spatially homogeneous, time independent) solution and study its linear stability, determining both Turing and Hopf instabilities, as well as a point at which both instabilities occur simultaneously. We then employ a weakly nonlinear stability analysis to derive two coupled amplitude equations describing the slow time evolution of the Turing and Hopf modes. We seek special solutions of the amplitude equations: a pure Turing solution, a pure Hopf solution, and a mixed mode solution, and analyze their stability to long-wave perturbations. We find that the stability criteria of all three solutions depend strongly on the superdiffusion rates. Also, when compared to the regular model and depending on specific values of the orders of the operators, the effect of anomalous diffusion may change the stability characteristics of the special solutions. (C) 2009 Elsevier Ltd. All rights reserved.}}, Address = {{THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}}, Affiliation = {{Matkowsky, BJ (Reprint Author), Northwestern Univ, Dept Engn Sci \& Appl Math, Evanston, IL 60208 USA. {[}Tzou, J. C.; Matkowsky, B. J.; Volpert, V. A.] Northwestern Univ, Dept Engn Sci \& Appl Math, Evanston, IL 60208 USA.}}, Author = {Tzou, J. C. and Matkowsky, B. J. and Volpert, V. A.}, Author-Email = {{b-matkowsky@northwestern.edu}}, Date-Added = {2009-11-22 08:32:54 -0600}, Date-Modified = {2009-11-22 08:36:32 -0600}, Doc-Delivery-Number = {{470GW}}, Doi = {{10.1016/j.aml.2009.01.054}}, Funding-Acknowledgement = {{NSERC {[}CGS M - 358595 - 2008]; NSF {[}DMS 0707445]}}, Funding-Text = {{Supported in part by NSERC Postgraduate Scholarship No. CGS M - 358595 - 2008. and by NSF grant DMS 0707445.}}, Issn = {{0893-9659}}, Journal = {Appl. Math. Lett.}, Journal-Iso = {{Appl. Math. Lett.}}, Keywords = {{Brusselator model; Superdiffusion; Turing-Hopf codimension-2 bifurcation; Weakly nonlinear analysis; Amplitude equations}}, Keywords-Plus = {{DIFFUSION; DYNAMICS}}, Language = {{English}}, Month = {{SEP}}, Number = {{9}}, Number-Of-Cited-References = {{5}}, Pages = {{1432-1437}}, Publisher = {{PERGAMON-ELSEVIER SCIENCE LTD}}, Subject-Category = {{Mathematics, Applied}}, Times-Cited = {{0}}, Title = {Interaction of {T}uring and {H}opf modes in the superdiffusive {B}russelator model}, Type = {{Article}}, Unique-Id = {{ISI:000267964200024}}, Volume = {{22}}, Year = {{2009}}, Bdsk-File-1 = {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}} @article{BauGroFeu2007, Abstract = {{We investigate the emergence of spatio-temporal patterns in ecological systems. In particular, we study a generalized predator-prey system on a spatial domain. On this domain diffusion is considered as the principal process of motion. We derive the conditions for Hopf and Turing instabilities without specifying the predator-prey functional responses and discuss their biological implications. Furthermore, we identify the codimension-2 Turing-Hopf bifurcation and the codimension-3 Turing-Takens-Bogdanov bifurcation. These bifurcations give rise to complex pattern formation processes in their neighborhood. Our theoretical findings are illustrated with a specific model. In simulations a large variety of different types of long-term behavior, including homogenous distributions, stationary spatial patterns and complex spatio-temporal patterns, are observed. (c) 2006 Elsevier Ltd. All rights reserved.}}, Address = {{24-28 OVAL RD, LONDON NW1 7DX, ENGLAND}}, Affiliation = {{Baurmann, M (Reprint Author), Carl Von Ossietzky Univ Oldenburg, Inst Chem \& Biol Marine Environm, D-26111 Oldenburg, Germany. Carl Von Ossietzky Univ Oldenburg, Inst Chem \& Biol Marine Environm, D-26111 Oldenburg, Germany. Princeton Univ, Dept Chem Engn, Princeton, NJ 08544 USA.}}, Author = {Baurmann, Martin and Gross, Thilo and Feudel, Ulrike}, Author-Email = {{baurmann@icbm.de}}, Date-Added = {2009-11-22 08:32:54 -0600}, Date-Modified = {2009-12-21 11:36:27 -0600}, Doc-Delivery-Number = {{146UA}}, Doi = {{10.1016/j.jtbi.2006.09.036}}, Journal = {J. Theor. Bio.}, Journal-Iso = {{J. Theor. Biol.}}, Keywords = {{predator-prey models; Turing-Hopf bifurcation; Turing-Takens-Bogdanov bifurcation; pattern formation}}, Keywords-Plus = {{DYNAMICS; PLANKTON; MODEL; COMPLEXITY; SPACE}}, Language = {{English}}, Month = {Mar 21}, Number = {2}, Number-Of-Cited-References = {{39}}, Pages = {220-229}, Publisher = {{ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD}}, Subject-Category = {{Biology; Mathematical \& Computational Biology}}, Times-Cited = {{13}}, Title = {Instabilities in spatially extended predator-prey systems: Spatio-temporal patterns in the neighborhood of {T}uring-{H}opf bifurcations}, Type = {{Article}}, Unique-Id = {{ISI:000244959000003}}, Volume = {245}, Year = {2007}, Bdsk-File-1 = {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}} @inproceedings{SteSteWil2008, Abstract = {{Using a recently reported analysis of gap-junction density in the cat visual cortex, we have augmented a standard mean-field model of the cortex to include a dense network of diffusive connections between inhibitory neurons. Provided the diffusive connection strength exceeds a critical threshold, our augmented cortical model predicts the spontaneous emergence of Turing structures, patterned regions of high- and low-firing cortical activity distributed across the brain. In this paper we demonstrate that these patterns will become self-modulating if a second model parameter, the rate-constant for the inhibitory post-synaptic potential, is made sufficiently small, allowing a low-frequency Hopf temporal instability to emerge. This interaction between Turing and Hopf instabilities may explain the slow oscillations in coherent brain activity observed in BOLD (blood oxygen-level-dependent) imagery, and may have relevance to brain pathologies which are characterized by abnormally low (e.g., schizophrenia) or abnormally high (e.g., Parkinson's disease) levels of cross-cortical neural synchrony.}}, Author = {Steyn-Ross, Moira L. and Steyn-Ross, D. A. and Wilson, M. T. and Sleigh, J. W.}, Booktitle = {Advances in Cognitive Neurodynamics}, Date-Added = {2009-11-22 08:13:15 -0600}, Date-Modified = {2009-12-21 11:47:37 -0600}, Doc-Delivery-Number = {BIR74}, Editor = {Wang, R and Gu, F and Shen, E}, Keywords = {Cortical modeling; pattern formation; gap junctions; schizophrenia; Parkinson's disease}, Keywords-Plus = {PHASE-TRANSITION; NETWORKS; NEURONS; COMPLEX; BRAIN}, Language = {English}, Number-Of-Cited-References = {12}, Pages = {225-230}, Publisher = {Humana Press Inc.}, Subject-Category = {Neurosciences}, Times-Cited = {0}, Title = {Interacting {T}uring and {H}opf Instabilities Drive Pattern Formation in a Noise-Driven Model Cortex}, Unique-Id = {{ISI:000262360700040}}, Year = {{2008}}, Bdsk-File-1 = {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}} @article{PenBes2007, Abstract = {The complex behavior of a reaction- diffusion system is investigated in two dimensions near a codimension- 2 point between a Hopf and a Wave bifurcation with resonant critical modes. As a result of coupling of a (omega, 0)- mode with modes (omega, k), standing waves arise in an extended region of the control parameters. Near threshold they appear with hexagonal symmetry. The selected wavenumber and the competition of two different spatial scales as a function of the control parameter agree with results calculated from Floquet analysis.}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Author = {Pena, B. and Bestehorn, M.}, Date-Added = {2009-11-19 12:31:23 -0600}, Date-Modified = {2009-11-19 12:31:53 -0600}, Doi = {DOI 10.1140/epjst/e2007-00188-5}, Isi = {000247812800026}, Isi-Recid = {157959821}, Isi-Ref-Recids = {94292396 157959822 157959823 85508230 34678297 72574606 107425120 94389803 66794208 90507263 92214660 112566395 83589724 67850717 92936708 79982702 157959824 84255077 28271959 105731355 114842719 125787695 115907456 124629233 142680529 157959825 89212743 157959826 110154437 122573675 92594890 129392577 134809872 93933503}, Journal = {Euro. Phys. J. ST}, Month = jul, Pages = {301-311}, Publisher = {EDP SCIENCES S A}, Times-Cited = {0}, Title = {Two-dimensional wave patterns near a Hopf-Wave interaction in a chemical model}, Volume = {146}, Year = {2007}, Bdsk-File-1 = {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}} @article{AloMigSag2008, Abstract = {We report on experiments with the photosensitive chlorine dioxide- iodine-malonic acid reaction (CDIMA) when forced with a random (spatiotemporally) distributed illumination. Acting on a mixed mode consisting of oscillating spots, close enough to the Hopf and Turing codimension-two bifurcation, we observe attenuation of oscillations while the spatial pattern is preserved. Numerical simulations confirm and extend these results. All together these observations point out to a larger vulnerability of the Hopf with respect to the Turing mode when facing noise of intermediate intensity and small correlation parameters. Copyright (C) EPLA, 2008.}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Author = {Alonso, S. and Miguez, D. G. and Sagues, F.}, Date-Added = {2009-11-19 12:30:20 -0600}, Date-Modified = {2010-01-29 13:39:04 -0600}, Doi = {DOI 10.1209/0295-5075/81/30006}, Isi = {000252884300006}, Isi-Recid = {172684899}, Isi-Ref-Recids = {121269047 127319072 135754042 72574606 96782101 111140497 134495761 121161377 103944338 74878551 135696629 145196042 153055217 111861730 142053695 99244844 146688728 128970844 157511152 128830258 150574647 120012766 114196016}, Journal = {Euro. Phys. Lett.}, Number = {3}, Pages = {30006}, Publisher = {EDP SCIENCES S A}, Times-Cited = {2}, Title = {Differential susceptibility to noise of mixed Turing and Hopf modes in a photosensitive chemical medium}, Volume = {81}, Year = {2008}, Bdsk-File-1 = {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}} @article{DasCaiCoo2009, Abstract = {The extraction of hidden information from complex trajectories is a continuing problem in single-particle and single-molecule experiments. Particle trajectories are the result of multiple phenomena, and new methods for revealing changes in molecular processes are needed. We have developed a practical technique that is capable of identifying multiple states of diffusion within experimental trajectories. We model single particle tracks for a membrane-associated protein interacting with a homogeneously distributed binding partner and show that, with certain simplifying assumptions, particle trajectories can be regarded as the outcome of a two-state hidden Markov model. Using simulated trajectories, we demonstrate that this model can be used to identify the key biophysical parameters for such a system, namely the diffusion coefficients of the underlying states, and the rates of transition between them. We use a stochastic optimization scheme to compute maximum likelihood estimates of these parameters. We have applied this analysis to single-particle trajectories of the integrin receptor lymphocyte function-associated antigen-1 (LFA-1) on live T cells. Our analysis reveals that the diffusion of LFA-1 is indeed approximately two-state, and is characterized by large changes in cytoskeletal interactions upon cellular activation.}, An = {19893741}, Author = {Das, Raibatak and Cairo, Christopher W and Coombs, Daniel}, Author-Address = {Department of Mathematics and Institute of Applied Mathematics, University of British Columbia, Vancouver, British Columbia, Canada.}, Date = {2009 Nov (Epub 2009 Nov 06)}, Date-Added = {2009-11-16 10:33:21 -0600}, Date-Modified = {2009-11-16 10:33:21 -0600}, Document-Type = {Journal Article}, Isi = {MEDLINE:19893741}, Issn = {1553-7358}, Jc = {101238922}, Journal = {PLoS Comput Biol}, Language = {English}, Month = {Nov(Epubnov)}, Number = {11}, Pe = {06 Nov 2009}, Ps = {e1000556}, Publication-Type = {J}, Publisher-Address = {United States}, Rc = {06 Nov 2009}, Ss = {Index Medicus}, Title = {A Hidden Markov Model for Single Particle Tracks Quantifies Dynamic Interactions between LFA-1 and the Actin Cytoskeleton.}, Volume = {5}, Year = {2009}, Bdsk-File-1 = {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}} @article{ConRie2007b, Abstract = {{Multifrequency forcing of systems undergoing a Hopf bifurcation to spatially homogeneous oscillations is investigated. For weak forcing composed of frequencies near the 1:1, 1:2, and 1:3 resonances, such systems can be described systematically by a suitably extended complex Ginzburg-Landau equation. Weakly nonlinear analysis shows that, generically, the forcing function can be tuned such that resonant triad interactions with weakly damped modes stabilize subharmonic 4- and 5-mode quasipatterns. In simulations starting from random initial conditions, domains of these quasipatterns compete and yield complex, slowly ordering patterns.}}, Address = {{ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}}, Affiliation = {{Conway, JM (Reprint Author), Northwestern Univ, Evanston, IL 60208 USA. Northwestern Univ, Evanston, IL 60208 USA.}}, Article-Number = {{218301}}, Author = {Conway, Jessica M. and Riecke, Hermann}, Date-Added = {2009-11-09 10:59:37 -0600}, Date-Modified = {2009-11-09 11:01:34 -0600}, Doc-Delivery-Number = {{233RH}}, Doi = {{10.1103/PhysRevLett.99.218301}}, Issn = {{0031-9007}}, Journal = {Phys. Rev. Lett.}, Journal-Iso = {{Phys. Rev. Lett.}}, Keywords-Plus = {{FARADAY WAVES; SURFACE-WAVES; SUPERLATTICE PATTERNS; SYSTEM; CRYSTALS; DEFECTS; STEADY}}, Language = {{English}}, Month = {Nov.}, Number = {21}, Number-Of-Cited-References = {{31}}, Pages = {218301}, Publisher = {{AMER PHYSICAL SOC}}, Subject-Category = {{Physics, Multidisciplinary}}, Times-Cited = {{2}}, Title = {Quasipatterns in a Model for Chemical Oscillations forced at Multiple Resonance Frequencies}, Type = {{Article}}, Unique-Id = {{ISI:000251107500068}}, Volume = {99}, Year = {2007}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAgIAAAAAAgIAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug9Db25SaWUyMDA3Yi5wZGYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALcFexxxiiQAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMcctukAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBvTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAQ29uUmllMjAwN2IucGRmAAAOACAADwBDAG8AbgBSAGkAZQAyADAAMAA3AGIALgBwAGQAZgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFlVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0NvblJpZTIwMDdiLnBkZgAAEwABLwAAFQACAAv//wAAgAXSHB0eH1gkY2xhc3Nlc1okY2xhc3NuYW1lox8gIV1OU011dGFibGVEYXRhVk5TRGF0YVhOU09iamVjdF8QUS4uL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0NvblJpZTIwMDdiLnBkZtIcHSQloiUhXE5TRGljdGlvbmFyeRIAAYagXxAPTlNLZXllZEFyY2hpdmVyAAgAEQAWAB8AKAAyADUAOgA8AEUASwBSAF0AZQBsAG8AcQBzAHYAeAB6AHwAhgCTAJgAoAKmAqgCrQK2AsECxQLTAtoC4wM3AzwDPwNMA1EAAAAAAAACAQAAAAAAAAAoAAAAAAAAAAAAAAAAAAADYw==}} @article{ConRie2007, Abstract = {{We study spatial patterns excited by resonant, multifrequency forcing of systems near a Hopf bifurcation to spatially homogeneous oscillations. Our third-order, weakly nonlinear analysis shows that for small amplitudes only stripe patterns or hexagons (up and down) are linearly stable; for larger amplitudes rectangles and super-hexagons may become stable. Numerical simulations show, however, that in the latter regime the third-order analysis is insufficient: superhexagons are unstable. Instead large-amplitude hexagons can arise and be bistable with the weakly nonlinear hexagons.}}, Address = {{ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}}, Affiliation = {{Conway, JM (Reprint Author), Northwestern Univ, Evanston, IL 60208 USA. Northwestern Univ, Evanston, IL 60208 USA.}}, Article-Number = {{057202}}, Author = {Conway, Jessica M. and Riecke, Hermann}, Date-Added = {2009-11-09 10:56:50 -0600}, Date-Modified = {2009-11-09 10:58:35 -0600}, Doc-Delivery-Number = {{236TL}}, Doi = {{10.1103/PhysRevE.76.057202}}, Issn = {{1539-3755}}, Journal = {Phys. Rev. E}, Journal-Iso = {{Phys. Rev. E}}, Keywords-Plus = {{REACTION-DIFFUSION SYSTEMS; FARADAY WAVES; SURFACE-WAVES}}, Language = {{English}}, Month = {Nov}, Number = {5}, Number-Of-Cited-References = {{15}}, Pages = {057202}, Publisher = {{AMER PHYSICAL SOC}}, Subject-Category = {{Physics, Fluids \& Plasmas; Physics, Mathematical}}, Times-Cited = {{2}}, Title = {Multiresonant Forcing of the Complex {G}inzburg-{L}andau Equation: Pattern Selection}, Type = {{Article}}, Unique-Id = {{ISI:000251326200093}}, Volume = {76}, Year = {2007}, Bdsk-File-1 = 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@misc{aphidphoto, Date-Added = {2009-11-06 08:32:11 -0600}, Date-Modified = {2009-11-06 08:34:12 -0600}, Title = {Photo by {M}.{E}. {R}ice, taken from http://www.ent.iastate.edu/soybeaninsects}} @article{Kid19760, Address = {175 FIFTH AVE, NEW YORK, NY 10010}, Author = {Kidd, N.}, Date-Added = {2009-11-05 15:09:11 -0600}, Date-Modified = {2009-11-12 15:57:22 -0600}, Isi = {A1976CF83500006}, Isi-Recid = {29904583}, Isi-Ref-Recids = {23434392 21237168 1906670 26580770 18482922 21734211 17311502 22001318 2723800 7529877 3740650 15151225 2627750 3927014 13425272 28538634 20725935 13383115 27187739 29904584 21446299 24846321 23302609 20800971 7106594 18503166 20443729 13582220 23316810}, Journal = {Oecologia}, Number = {2}, Pages = {175-185}, Publisher = {SPRINGER VERLAG}, Times-Cited = {15}, Title = {Aggregation in the Lime Aphid ({E}ucallipterus tiliae {L}.): 2. {S}ocial Aggregation}, Volume = {25}, Year = {1976}, Bdsk-File-1 = 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@article{Kid1976, Address = {175 FIFTH AVE, NEW YORK, NY 10010}, Author = {Kidd, N.}, Date-Added = {2009-11-05 15:09:07 -0600}, Date-Modified = {2009-11-12 15:57:26 -0600}, Isi = {A1976BE61300007}, Isi-Recid = {28538634}, Isi-Ref-Recids = {8239600 20732960 23308293 26688313 28538635 28538636 13208233 23428003 8026858 23889604}, Journal = {Oecologia}, Number = {3}, Pages = {299-304}, Publisher = {SPRINGER VERLAG}, Times-Cited = {11}, Title = {Aggregation in the Lime Aphid ({E}ucallipterus tiliae {L}.): 1. {L}eaf Vein Selection and its Effect on Distribution on the Leaf}, Volume = {22}, Year = {1976}, Bdsk-File-1 = 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@article{BerCarLau2009, Abstract = {We consider the multidimensional aggregation equation u(t) - del. (u del K * u) = 0 in which the radially symmetric attractive interaction kernel has a mild singularity at the origin (Lipschitz or better). In the case of bounded initial data, finite time singularity has been proved for kernels with a Lipschitz point at the origin (Bertozzi and Laurent 2007 Commun. Math. Sci. 274 717-35), whereas for C-2 kernels there is no finite-time blow-up. We prove, under mild monotonicity assumptions on the kernel K, that the Osgood condition for well-posedness of the ODE characteristics determines global in time well-posedness of the PDE with compactly supported bounded nonnegative initial data. When the Osgood condition is violated, we present a new proof of finite time blow-up that extends previous results, requiring radially symmetric data, to general bounded, compactly supported nonnegative initial data without symmetry. We also present a new analysis of radially symmetric solutions under less strict monotonicity conditions. Finally, we conclude with a discussion of similarity solutions for the case K( x) = vertical bar x vertical bar and some open problems.}, Address = {DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND}, Author = {Bertozzi, Andrea L. and Carrillo, Jose A. and Laurent, Thomas}, Date-Added = {2009-11-04 11:46:23 -0600}, Date-Modified = {2009-11-04 11:46:23 -0600}, Doi = {DOI 10.1088/0951-7715/22/3/009}, Isi = {000263259400009}, Isi-Recid = {176531961}, Isi-Ref-Recids = {116927540 150340523 176531962 106162298 176531963 157745875 108121910 176531964 173150343 149193396 132961732 111044689 176531965 155586712 148453742 134272140 170543571 142116338 129115441 152145677 147539423 18117702 159883676 176531966 176531967 176531968 134735310 128000204 100912473 110819087 176531969 128708941 120724503 10983723 152188452 142220767 122617963 134497318 38072611}, Journal = {Nonlinearity}, Month = mar, Number = {3}, Pages = {683-710}, Publisher = {IOP PUBLISHING LTD}, Times-Cited = {2}, Title = {Blow-up in multidimensional aggregation equations with mildly singular interaction kernels}, Volume = {22}, Year = {2009}, Bdsk-File-1 = {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}} @misc{CriPicTos2009, Author = {Cristiani, E. and Piccoli, B and Tosin, A.}, Date-Added = {2009-10-27 21:18:44 -0500}, Date-Modified = {2009-10-27 21:21:26 -0500}, Title = {Modeling Self-Organization in Pedestrians and Animal Groups from Macroscopic and Microscopic Viewpoints}, Year = {2009}, Bdsk-File-1 = {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}} @misc{SimRauCha2009, Author = {Simpson, S. J. and Raubenheimer, D. and Charleston, M. A. and Clissold, F. J.}, Date-Added = {2009-10-19 14:12:24 -0500}, Date-Modified = {2009-10-19 14:13:59 -0500}, Howpublished = {Preprint}, Title = {Modelling nutritional interactions: from individuals to communities}, Year = {2009}, Bdsk-File-1 = {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}} @article{ReySwoSim2009, Abstract = {Apart from being notorious outbreak pests, locusts are of interest because of their expression of density-dependent "phase polyphenism." In this remarkable form of phenotypic plasticity, changes in local population density generate distinct solitarious and gregarious phases that differ in behavior, physiology, and appearance [1, 2]. A hallmark of phase polyphenism in outbreak species is the transition from solitary living to group formation and subsequent mass movement in migratory bands or swarms, yet there has been no convincing general explanation for the evolution of these density-dependent switches in spatial distribution. Using a model from "percolation theory" [3], we show that it would be highly detrimental for locust individuals to continue indefinitely in a dispersed spatial distribution as their population densities increase. Switching to an extremely clumped distribution is advantageous because it disrupts the connectivity of predators' food-patch networks. Thus, selection pressure from predators has probably been an important factor underlying the initial evolution of conditional switches between "dispersed" and strongly aggregative behavior, which will also affect outbreak dynamics. Although group formation is the best alternative for high-density populations, it brings its own set of severe problems, resulting in secondary selection for many of the traits seen in gregarious-phase individuals [4-6].}, Address = {600 TECHNOLOGY SQUARE, 5TH FLOOR, CAMBRIDGE, MA 02139 USA}, Author = {Reynolds, Andy M. and Sword, Gregory A. and Simpson, Stephen J. and Reynolds, Don R.}, Date-Added = {2009-10-19 14:10:36 -0500}, Date-Modified = {2009-10-19 14:10:36 -0500}, Doi = {DOI 10.1016/j.cub.2008.10.070}, Isi = {000262584100023}, Isi-Recid = {175858843}, Isi-Ref-Recids = {142127014 175858869 64503769 150386996 35015843 107609579 172002199 134645872 144881947 142639834 114096730 114016846 142779444 78734132 33933847 134140317 11527644 19816060 126937841 175858870 119285508 162290145 149555676 142639817 113333646 108506238 175858871 142849542 59978531 12381583 126308146 133708230 160693495 124478048 128368753}, Journal = {Current Biology}, Month = jan, Number = {1}, Pages = {20-24}, Publisher = {CELL PRESS}, Times-Cited = {1}, Title = {Predator Percolation, Insect Outbreaks, and Phase Polyphenism}, Volume = {19}, Year = {2009}, Bdsk-File-1 = {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}} @article{DesSim2000b, Abstract = {The behaviour of herbivorous insects is influenced by their nutritional state. Nutrition-induced behavioural changes are often interpreted as adaptive mechanisms for controlling nutrient intake; however, their influence on other life history traits has received far less attention. We investigated the effect of food quality and distribution on the behaviour and phase state of desert locusts, Schistocerca gregaria Forskal (Orthoptera, Acrididae), which change from the 'solitarious' to the 'gregarious' phase in response to population density. Phase change involves many morphological, physiological and behavioural changes. Solitarious insects are cryptic whereas gregarious locusts aggregate. Individual phase change is stimulated by mechanical contact with other locusts. A clumped resource distribution promotes change to the gregarious phase by increasing crowding and contact between individuals. In this study, we found that the effect of food distribution on locust phase depended on the nutritional quality of the food. We used three synthetic food treatments: near optimal, dilute and a choice of two unbalanced but complementary foods. Clumped resource distribution led to increased gregarization in the dilute and the complementary diet treatments. This effect was particularly pronounced on the complementary foods, owing to the interaction of crowding and locomotion. Gregarization was most pronounced in the dilute diet treatment, owing to increased activity. These diet-induced effects are explained in terms of behavioural changes in locomotion, quiescence and feeding that are consistent with what is known from earlier work on locust feeding behaviour and behavioural phase change. (C) 2000 The Association for the Study of Animal Behaviour.}, Address = {24-28 OVAL RD, LONDON NW1 7DX, ENGLAND}, Author = {Despland, E and Simpson, SJ}, Date-Added = {2009-10-19 14:06:41 -0500}, Date-Modified = {2009-10-19 14:07:26 -0500}, Isi = {000086429400021}, Isi-Recid = {114499127}, Isi-Ref-Recids = {62414322 65305625 31005356 97003227 71236930 39375642 98780082 114016847 114499128 114499129 107609579 113333647 114499130 114499131 114499132 114499133 114499134 7228379 114499135 97685080 86771203 52430267 46034 8239499 52890738 92043152 114499136 98284675 84484514 83288108 106155730 114016855 114016854 114499137 83618684 83288104 106475547 15359538 90880419 77534164 98360646 76280131 57981227 85760660 114499138 114499139 97135640 112559860 36699933 114499140}, Journal = {Animal Behaviour}, Month = mar, Pages = {643-652}, Publisher = {ACADEMIC PRESS LTD}, Times-Cited = {14}, Title = {The role of food distribution and nutritional quality in behavioural phase change in the desert locust}, Volume = {59}, Year = {2000}, Bdsk-File-1 = {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}} @article{Tur1989, Abstract = {(1) Gregarious behaviour is an important factor influencing survival and reproduction of animals, as well as population interactions. In this paper I develop a model of movement with attraction or repulsion between conspecifics. To facilitate its use in empirical studies, the model is based on experimentally measurable features of individual behaviour. (2) Attraction among individuals leads to movement which is biased towards areas of high population density. However, aggregations can arise only if mutual attraction is strong enough to dominate the dispersive effect due to random motion. I use the model to define the conditions for formation of an aggregated spatial pattern in homogeneous space. The model is applied to the aggregative movement in Aphis varians. (3) To investigate how spatial inhomogeneity can interact with density-dependent movement I consider a population of animals foraging for a patchy resource, e.g. insect herbivores moving among patches of their host-plants. The results of the model indicate that gregarious behaviour of herbivores strongly amplifies the effects of patch size on herbivore density. Field studies of the Mexican bean beetle-garden bean system provide experimental support for this theoretical prediction. (4) The modelling framework developed in this paper provides a tool for studying effects of aggregation on predator-prey and competitive interactions, since demographic and population interaction terms can be readily added to the model.}, Author = {Turchin, Peter}, Copyright = {Copyright {\^A}{\copyright} 1989 British Ecological Society}, Date-Added = {2009-10-19 12:23:57 -0500}, Date-Modified = {2009-10-19 12:24:07 -0500}, Issn = {00218790}, Journal = {Journal of Animal Ecology}, Jstor_Articletype = {primary_article}, Jstor_Formatteddate = {Feb., 1989}, Number = {1}, Pages = {75--100}, Publisher = {British Ecological Society}, Title = {Population Consequences of Aggregative Movement}, Url = {http://www.jstor.org/stable/4987}, Volume = {58}, Year = {1989}, Bdsk-File-1 = {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}} @article{Gru1994, Abstract = {Density-dependent social behaviors such as swarming and schooling determine spatial distribution and patterns of resource use in many species. Lagrangian (individual-based) models have been used to investigate social groups arising from hypothetical algorithms for behavioral interactions, but the Lagrangian approach is limited by computational and analytical constraints to relatively small numbers of individuals and relatively short times. The dynamics of ''group properties'', such as population density, are often more ecologically useful descriptions of aggregated spatial distributions than individual movements and positions. Eulerian (partial differential equation) models directly predict these group properties; however, such models have been inadequately tied to specific individual behaviors. In this paper, I present an Eulerian model of density-dependent swarming which is derived directly from a Lagrangian model in which individuals with limited sensing distances seek a target density of neighbors. The essential step in the derivation is the interpretation of the density distribution as governing the occurrence of animals as Poisson points; thus the number of individuals observed in any spatial interval is a Poisson-distributed random variable. This interpretation appears to be appropriate whenever a high degree of randomness in individual positions is present. The Eulerian model takes the form of a nonlinear partial integro-differential equation (PIDE); this equation accurately predicts statistically stationary swarm characteristics, such as expected expected density distribution. Stability analysis of the PIDE correctly predicts transients in the stochastic form of the aggregation model. The model is presented in one-dimensional form; however, it illustrates an approach that can be equally well applied in higher dimensions, and for more sophisticated behavioral algorithms.}, Address = {175 FIFTH AVE, NEW YORK, NY 10010}, Author = {Gr\"{u}nbaum, D.}, Date-Added = {2009-10-19 09:33:55 -0500}, Date-Modified = {2009-11-12 15:53:42 -0600}, Isi = {A1994PZ73900002}, Isi-Recid = {89793865}, Isi-Ref-Recids = {89793866 62036078 43319130 84694192 79930028 89519018 89793867 89793868 13471037 66197085 53562026 89793869 44632499 73735193 76359007 68522953 76359006}, Journal = {J. Math. Bio.}, Keywords = {AGGREGATION; DENSITY-DEPENDENT BEHAVIOR; ANIMAL DISTRIBUTIONS}, Month = dec, Number = {2}, Pages = {139-161}, Publisher = {SPRINGER VERLAG}, Times-Cited = {35}, Title = {Translating Stochastic Density-Dependent Individual Behavior With Sensory Constraints to an {E}ularian Model of Animal Swarming}, Volume = {33}, Year = {1994}, Bdsk-File-1 = {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}} @article{MorCapOel2005, Abstract = {In this paper we investigate the stochastic modelling of a spatially structured biological population subject to social interaction. The biological motivation comes from the analysis of field experiments on a species of ants which exhibits a clear tendency to aggregate, still avoiding overcrowding. The model we propose here provides an explanation of this experimental behavior in terms of "long-ranged" aggregation and "short-ranged" repulsion mechanisms among individuals, in addition to an individual random dispersal described by a Brownian motion. Further, based on a "law of large numbers", we discuss the convergence, for large N, of a system of stochastic differential equations describing the evolution of N individuals (Lagrangian approach) to a deterministic integro-differential equation describing the evolution of the mean-field spatial density of the population (Eulerian approach).}, Address = {233 SPRING STREET, NEW YORK, NY 10013 USA}, Author = {Morale, D and Capasso, V and Oelschlager, K}, Date-Added = {2009-10-19 09:32:20 -0500}, Date-Modified = {2009-10-19 09:32:20 -0500}, Doi = {DOI 10.1007/s00285-004-0279-1}, Isi = {000226809800003}, Isi-Recid = {142957570}, Isi-Ref-Recids = {58957469 132961732 142957571 123870626 115126697 89604840 62459663 109720356 2890586 11617857 33618497 30258480 67278333 89793865 91653521 97728150 91653519 17706827 89519018 39714457 142957572 110819087 142957573 142957574 74407156 49382779 49872481 74450294 69734897 66197085 128708941 142957575 142957576 76359006 142957577}, Journal = {Journal of Mathematical Biology}, Keywords = {agent based models; aggregation; self-organization; Stochastic differential equations; moderate limit; empirical measures}, Month = jan, Number = {1}, Pages = {49-66}, Publisher = {SPRINGER}, Times-Cited = {19}, Title = {An interacting particle system modelling aggregation behavior: from individuals to populations}, Volume = {50}, Year = {2005}, Bdsk-File-1 = {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}} @misc{macnow2008, Date-Added = {2009-10-18 09:06:23 -0500}, Date-Modified = {2009-10-18 19:19:53 -0500}, Lastchecked = {10/18/2009}, Url = {http://web.mac.com/chad.topaz/ChadTopaz/Home\_files/macalester\_now\_excerpt.pdf}, Year = {2008}, Bdsk-Url-1 = {http://web.mac.com/chad.topaz/ChadTopaz/Home%5C_files/macalester%5C_now%5C_excerpt.pdf}} @misc{macwire2008, Date-Added = {2009-10-18 09:02:04 -0500}, Date-Modified = {2009-10-18 19:18:47 -0500}, Lastchecked = {10/18/2009}, Month = {Nov.}, Url = {http://www.macalester.edu/alumni/macwire/index20081110.html\#cn2}, Year = {2008}, Bdsk-Url-1 = {http://www.macalester.edu/alumni/macwire/index20081110.html%5C#cn2}} @article{LukLiEde2009, Author = {Lukeman, R. and Li, Y. X. and Edelstein-Keshet, L.}, Date-Added = {2009-10-13 14:31:19 -0500}, Date-Modified = {2009-11-04 15:17:40 -0600}, Doi = {10.1007/s11538-008-9365-7}, Isi = {WOS:000262504000005}, Issn = {0092-8240}, Journal = {Bull. Math. Bio.}, Number = {2}, Pages = {352--382}, Publication-Type = {J}, Times-Cited = {0}, Title = {A Conceptual Model for Milling Formations in Biological Aggregates}, Volume = {71}, Year = {2009}, Bdsk-File-1 = {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}} @article{LiLukEde2008, Author = {Li, Y. X. and Lukeman, R. and Edelstein-Keshet, L.}, Date-Added = {2009-10-13 14:31:19 -0500}, Date-Modified = {2009-10-13 14:31:45 -0500}, Doi = {10.1016/j.physd.2007.10.009}, Isi = {WOS:000255823700012}, Issn = {0167-2789}, Journal = {Physica D}, Number = {5}, Pages = {699--720}, Publication-Type = {J}, Times-Cited = {1}, Title = {Minimal mechanisms for school formation in self-propelled particles}, Volume = {237}, Year = {2008}, Bdsk-File-1 = {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}} @unpublished{Kon2009, Author = {Kondrashov, D.}, Date-Added = {2009-10-13 09:23:57 -0500}, Date-Modified = {2009-10-13 09:25:15 -0500}, Note = {Unpublished textbook}, Title = {Mathematical methods for biological sciences}, Year = {2009}, Bdsk-File-1 = {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}} @article{KatDab2009, Abstract = {Recent observations of biologically generated turbulence in the ocean have led to conflicting conclusions regarding the significance of the contribution of animal swimming to ocean mixing. Measurements indicate elevated turbulent dissipation-comparable with levels caused by winds and tides-in the vicinity of large populations of planktonic animals swimming together(1). However, it has also been noted that elevated turbulent dissipation is by itself insufficient proof of substantial biogenic mixing, because much of the turbulent kinetic energy of small animals is injected below the Ozmidov buoyancy length scale, where it is primarily dissipated as heat by the fluid viscosity before it can affect ocean mixing(2). Ongoing debate regarding biogenic mixing has focused on comparisons between animal wake turbulence and ocean turbulence(3,4). Here, we show that a second, previously neglected mechanism of fluid mixing-first described over 50 years ago by Charles Darwin(5)-is the dominant mechanism of mixing by swimming animals. The efficiency of mixing by Darwin's mechanism is dependent on animal shape rather than fluid length scale and, unlike turbulent wake mixing, is enhanced by fluid viscosity. Therefore, it provides a means of biogenic mixing that can be equally effective in small zooplankton and large mammals. A theoretical model for the relative contributions of Darwinian mixing and turbulent wake mixing is created and validated by in situ field measurements of swimming jellyfish using a newly developed scuba-based laser velocimetry device(6). Extrapolation of these results to other animals is straightforward given knowledge of the animal shape and orientation during vertical migration. On the basis of calculations of a broad range of aquatic animal species, we conclude that biogenic mixing via Darwin's mechanism can be a significant contributor to ocean mixing and nutrient transport.}, Address = {MACMILLAN BUILDING, 4 CRINAN ST, LONDON N1 9XW, ENGLAND}, Author = {Katija, Kakani and Dabiri, John O.}, Date-Added = {2009-10-13 09:23:28 -0500}, Date-Modified = {2009-10-13 09:23:54 -0500}, Doi = {DOI 10.1038/nature08207}, Isi = {000268454300049}, Isi-Recid = {182520147}, Isi-Ref-Recids = {148506229 950194 152154554 88876458 132449593 112417307 130364701 1800516 107773477 47071185 135574378 162982135 152154553 93687588 125361079 21552567 153561497 9022968 155597030 74895261}, Journal = {Nature}, Keywords = {mixing; biomixing}, Month = jul, Number = {7255}, Pages = {624-U87}, Publisher = {NATURE PUBLISHING GROUP}, Times-Cited = {1}, Title = {A viscosity-enhanced mechanism for biogenic ocean mixing}, Volume = {460}, Year = {2009}, Bdsk-File-1 = {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}} @unpublished{CriFraPic2009, Author = {Cristiani, E. and Frasca, P. and Piccoli, B.}, Date-Added = {2009-10-13 09:21:11 -0500}, Date-Modified = {2009-10-13 09:22:08 -0500}, Note = {Preprint}, Title = {Effects of anisotropic interactions on the structure of animal groups}, Year = {2009}, Bdsk-File-1 = {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}} @article{VicCziBen1995, Abstract = {A simple model with a novel type of dynamics is introduced in order to investigate the emergence of self-ordered motion in systems of particles with biologically motivated interaction. In our model particles are driven with a constant absolute velocity and at each time step assume the average direction of motion of the particles in their neighborhood with some random perturbation (eta) added. We present numerical evidence that this model results in a kinetic phase transition from no transport (zero average velocity, \v(a)\ = 0) to finite net transport through spontaneous symmetry breaking of the rotational symmetry. The transition is continuous, since \v(a)\ is found to scale as (eta(c) - eta)(beta) with beta similar or equal to 0.45.}, Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, Author = {Vicsek, T. and Czirok, A. and Ben Jacob, E. and Cohen, I. and Shochet, O.}, Date-Added = {2009-10-06 12:52:43 -0500}, Date-Modified = {2009-11-12 15:54:33 -0600}, Isi = {A1995RN00100059}, Isi-Recid = {92315696}, Isi-Ref-Recids = {86373279 64910950 86185569 81079889 92315697 73964012 43282291 80302976 69111302 74177453 31301507 59730763 75071942 92315698 63915445 85125788 69657633 21071066 80009056}, Journal = {Phys. Rev. Lett.}, Month = aug, Number = {6}, Pages = {1226-1229}, Publisher = {AMERICAN PHYSICAL SOC}, Times-Cited = {582}, Title = {Novel Type of Phase-Transition in a System of Self-Driven Particles}, Volume = {75}, Year = {1995}, Bdsk-File-1 = {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}} @article{RoeSim1994, Abstract = {The time-course of behavioural phase change was investigated in nymphs of Schistocerca gregaria, using logistic regression analysis of behaviour recorded in a standard assay. Gregarization occurred very rapidly. Solitary-reared nymphs became markedly gregarious in behaviour within 1-4h of being placed in a crowd. These insects re-solitarized equally quickly if removed from the crowd. Crowd-reared locusts also solitarized within 1-4h, but this effect was not complete. Results indicate that, while behavioural gregarization is maximal within a few hours of crowding, solitarization is a two-stage process, changing rapidly at first, then more slowly as a function of the period of previous crowding.}, Address = {OSNEY MEAD, OXFORD, OXON, ENGLAND OX2 0EL}, Author = {Roessingh, P and Simpson, S. J.}, Date-Added = {2009-10-06 11:59:20 -0500}, Date-Modified = {2009-11-12 16:00:33 -0600}, Isi = {A1994PE67700004}, Isi-Recid = {88393333}, Isi-Ref-Recids = {83850162 88393334 7228379 13313717 2723800 83288106 78734132 23860411 48578752 67757138 88393335 88393336 46034 83288104 15359538 12381583}, Journal = {Physiol. Entomol.}, Keywords = {SCHISTOCERCA-GREGARIA; LOCUST; PHASE; GREGARIZATION}, Month = sep, Number = {3}, Pages = {191-197}, Publisher = {BLACKWELL SCIENCE LTD}, Times-Cited = {37}, Title = {THE TIME-COURSE OF BEHAVIORAL PHASE-CHANGE IN NYMPHS OF THE DESERT LOCUST, SCHISTOCERCA-GREGARIA}, Volume = {19}, Year = {1994}, Bdsk-Url-1 = {http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS&DestLinkType=FullRecord;KeyUT=A1994PE67700004}} @techreport{BraDjiFay2006, Author = {Brader, L. and Djibo, H. and Faye, F. G. and Ghaout, S. and Lazar, M. and Luzietoso, P. N. and Ould Babah, M. A.}, Date-Added = {2009-10-06 10:18:20 -0500}, Date-Modified = {2009-10-06 10:22:13 -0500}, Institution = {United Nations Food and Agriculture Organization}, Keywords = {locust}, Month = {April}, Title = {Towards a More Effective Response to Desert Locusts and their Impacts on Food Security, Livelihoods and Poverty: Multilateral Evaluation of the 2003--05 Desert Locust Campaign}, Year = {2006}, Bdsk-File-1 = {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}} @unpublished{Rit2004, Author = {Ritter, Laura}, Date-Added = {2009-10-04 14:13:12 -0500}, Date-Modified = {2009-10-04 14:14:17 -0500}, Keywords = {chemotaxis}, Title = {A Short Course in the Modeling of Chemotaxis}, Year = {2004}, Bdsk-File-1 = {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}} @article{HilPai2009, Abstract = {Mathematical modelling of chemotaxis (the movement of biological cells or organisms in response to chemical gradients) has developed into a large and diverse discipline, whose aspects include its mechanistic basis, the modelling of specific systems and the mathematical behaviour of the underlying equations. The Keller-Segel model of chemotaxis (Keller and Segel in J Theor Biol 26:399-415, 1970; 30:225-234, 1971) has provided a cornerstone for much of this work, its success being a consequence of its intuitive simplicity, analytical tractability and capacity to replicate key behaviour of chemotactic populations. One such property, the ability to display "auto-aggregation", has led to its prominence as a mechanism for self-organisation of biological systems. This phenomenon has been shown to lead to finite-time blow-up under certain formulations of the model, and a large body of work has been devoted to determining when blow-up occurs or whether globally existing solutions exist. In this paper, we explore in detail a number of variations of the original Keller-Segel model. We review their formulation from a biological perspective, contrast their patterning properties, summarise key results on their analytical properties and classify their solution form. We conclude with a brief discussion and expand on some of the outstanding issues revealed as a result of this work.}, Address = {233 SPRING ST, NEW YORK, NY 10013 USA}, Author = {Hillen, T. and Painter, K. J.}, Date-Added = {2009-10-04 12:41:06 -0500}, Date-Modified = {2009-10-04 14:14:38 -0500}, Doi = {DOI 10.1007/s00285-008-0201-3}, Isi = {000259960000009}, Isi-Recid = {173787420}, Isi-Ref-Recids = {101992994 61700066 39982513 148071042 55702428 108121912 118210941 58781398 142163183 151643004 91907579 74974895 173787421 137359922 106935035 118469284 85332460 44075722 147934951 142116339 20967311 100017101 173787422 128756683 147690131 151622996 122368335 135851756 75144064 107874183 70196984 122106813 149470449 154883611 152986825 119683953 117230019 90880392 125895698 137541879 133349553 144392541 63438103 173787423 19534743 18117702 24831556 122106811 148979530 143824912 160789437 153782730 128716981 130970305 29506209 114627797 47972716 173787424 100700870 106198293 130224123 76954738 135854354 119370339 97200723 132161115 103229511 75828381 131890261 104190147 116318323 23977675 28611735 125978477 132118219 66052401 101560053 131594560 103020755 117371937 110080239 136361608 116671104 126271229 10983723 156328514 102123894 128774571 147690135 90396243 125895702 31707244 28792514 84362300 85924709 116203357 150133712 64802096 109877764 108852148 135324394 159952050 173787425 114311166 173787426 91907582 149971438 137541874 142763630}, Journal = {Journal of Mathematical Biology}, Keywords = {chemotaxis; keller; segel}, Month = jan, Number = {1-2}, Pages = {183-217}, Publisher = {SPRINGER}, Times-Cited = {4}, Title = {A user's guide to PDE models for chemotaxis}, Type = {Proceedings Paper}, Volume = {58}, Year = {2009}, Bdsk-File-1 = {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}} @article{SkaPopRof1990, Address = {6 CARLTON HOUSE TERRACE, LONDON, ENGLAND SW1Y 5AG}, Author = {Skaf, R. and Popov, G. B. and Roffey, J.}, Date-Added = {2009-09-23 15:35:23 -0500}, Date-Modified = {2009-09-23 15:36:34 -0500}, Isi = {A1990DQ99100003}, Isi-Recid = {73140050}, Isi-Ref-Recids = {73140051 73140052 73140053 73140054 73140055 30058721 73140056 73140057 73140058 38705955 47963914 58992589 73140059 38705892 23910221 18675160 73140060 15359538 38706005 67582587 73140061 70428923 59244 38705881}, Journal = {Philosophical Transactions of the Royal Society of London Series B-Biological Sciences}, Month = jun, Number = {1251}, Pages = {525-538}, Publisher = {ROYAL SOC LONDON}, Times-Cited = {17}, Title = {THE DESERT LOCUST - AN INTERNATIONAL CHALLENGE}, Volume = {328}, Year = {1990}, Bdsk-File-1 = {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}} @article{Bel2005, Address = {45 BEACON ST, BOSTON, MA 02108-3693 USA}, Author = {Bell, M}, Date-Added = {2009-09-23 15:26:01 -0500}, Date-Modified = {2009-11-13 09:41:35 -0600}, Isi = {000230153400025}, Isi-Recid = {145032762}, Journal = {Bull. Am. Meteor. Soc.}, Month = jun, Number = {6}, Pages = {S60}, Publisher = {AMER METEOROLOGICAL SOC}, Times-Cited = {1}, Title = {The 2004 desert locust outbreak}, Volume = {86}, Year = {2005}, Bdsk-File-1 = {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}} @article{AnsRogOtt2009, Abstract = {Desert locusts, Schistocerca gregaria, show extreme phenotypic plasticity, transforming between a little- seen solitarious phase and the notorious swarming gregarious phase depending on population density. An essential tipping point in the process of swarm formation is the initial switch from strong mutual aversion in solitarious locusts to coherent group formation and greater activity in gregarious locusts. We show here that serotonin, an evolutionarily conserved mediator of neuronal plasticity, is responsible for this behavioral transformation, being both necessary if behavioral gregarization is to occur and sufficient to induce it. Our data demonstrate a neurochemical mechanism linking interactions between individuals to large- scale changes in population structure and the onset of mass migration.}, Address = {1200 NEW YORK AVE, NW, WASHINGTON, DC 20005 USA}, Author = {Anstey, Michael L. and Rogers, Stephen M. and Ott, Swidbert R. and Burrows, Malcolm and Simpson, Stephen J.}, Date-Added = {2009-09-22 13:04:22 -0500}, Date-Modified = {2009-09-22 13:04:22 -0500}, Doi = {DOI 10.1126/science.1165939}, Isi = {000262862800041}, Isi-Recid = {175929424}, Isi-Ref-Recids = {162584097 150386996 91579456 137301535 135668225 130459946 113727365 100678063 132582622 158911788 131915085 25101748 91138504 106155730 129391470 106475547 83288104 137048271 132514008 119370435 112559860 66336570 159671956 114726427 110544594 119701696 53055052 127670713 41131165 127119316}, Journal = {Science}, Month = jan, Number = {5914}, Pages = {627-630}, Publisher = {AMER ASSOC ADVANCEMENT SCIENCE}, Times-Cited = {2}, Title = {Serotonin Mediates Behavioral Gregarization Underlying Swarm Formation in Desert Locusts}, Volume = {323}, Year = {2009}, Bdsk-File-1 = {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}} @article{PenSim2009, Annote = {Use this article to help with locust background for NSF RUI proposal 2009. Most useful pages (numbers correspond to .pdf file): 4 - 16, 167 - 178, 199 - 207, 215 - 275}, Author = {Pener, Meir Paul and Simpson, Stephen J.}, Date-Added = {2009-09-22 13:02:24 -0500}, Date-Modified = {2009-11-12 15:58:15 -0600}, Doi = {DOI: 10.1016/S0065-2806(08)36001-9}, Editor = {Simpson, S. J. and Casas, J.}, Issn = {0065-2806}, Journal = {Adv. Insect Physiol.}, Pages = {1 - 272}, Publisher = {Academic Press}, Series = {Advances in Insect Physiology}, Title = {Locust Phase Polyphenism: An Update}, Volume = {36}, Year = {2009}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfwAAAAAAfwAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug5QZW5TaW0yMDA5LnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALdQsxt2GxgAAAAAAAAAAAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbdzRYAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBuTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAUGVuU2ltMjAwOS5wZGYADgAeAA4AUABlAG4AUwBpAG0AMgAwADAAOQAuAHAAZABmAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAWFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvUGVuU2ltMjAwOS5wZGYAEwABLwAAFQACAAv//wAAgAXSHB0eH1gkY2xhc3Nlc1okY2xhc3NuYW1lox8gIV1OU011dGFibGVEYXRhVk5TRGF0YVhOU09iamVjdF8QUC4uL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1BlblNpbTIwMDkucGRm0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAqACogKnArACuwK/As0C1ALdAzADNQM4A0UDSgAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANc}} @article{AppHei1999, Abstract = {Insects respond to crowding in a variety of ways that are usually exemplified by rapid changes in behavior and culminate in enduring long-term morphological and/or chromatic responses. A common feature of both short-term and long-term effects is that they are graded, dependent not only on density but also on the duration and on phase history of the maternal generation. Because of their exoskeletons, which are persistent for the duration of each instar and endure throughout adult life, overt changes in morphology or coloration are restricted to the molting period and shortly afterward, when cuticular hardening and pigmentation are expressed. Changes in internal organs or metabolism elicited by population density, being independent of integumental constraints, are not restricted to the molting period, but the temporal difference between internal and external responses is not of fundamental significance. Intraspecific responses to the presence of sibling insects are of apparent ecological significance and often involve directional movement and/or migration. They are mediated via the sensory system, involve signal transduction, and elicit downstream biochemical and physiological changes.}, Author = {Applebaum, S W and Heifetz, Y}, Date-Added = {2009-09-21 12:19:14 -0500}, Date-Modified = {2009-11-12 15:57:54 -0600}, Doi = {10.1146/annurev.ento.44.1.317}, Journal = {Ann. Rev. Entomol.}, Journal-Full = {Annual review of entomology}, Keywords = {locust}, Pages = {317-41}, Pmid = {15012376}, Title = {Density-dependent physiological phase in insects}, Volume = {44}, Year = {1999}, Bdsk-File-1 = {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}} @article{DesSim2000, Abstract = {Desert locusts (Schistocerca gregaria Forskal (Orthoptera: Acrididae)) change phase in response to population density. Solitarious insects avoid one another; when crowded, they shift to the gregarious phase and aggregate. Laboratory experiments and individual-based modelling have shown that small-scale resource distribution can affect locust phase state via an influence on crowding. Laboratory work has also shown that parental phase state is transmitted to offspring via maternal inheritance. These effects had not been investigated in the field previously. We maintained small populations of adult desert locusts in semi-field enclosures with different distribution patterns of a single plant species (Hyoscyamus muticus L. (Solanaceae)). The offspring of locusts exposed to more clumped patterns of vegetation exhibited more gregarious behaviour when tested in a behavioural phase assay than did progeny from parents left in enclosures with more scattered vegetation. These effects on nymphal behaviour appeared to be mediated by influences of resource distribution on adult phase state. Phase state in small semi-field populations was influenced by small-scale vegetation distribution. Phase differences engendered by environmental structure were maintained in time and transmitted to progeny.}, Address = {P O BOX 88, OSNEY MEAD, OXFORD OX2 0NE, OXON, ENGLAND}, Author = {Despland, E and Simpson, SJ}, Date-Added = {2009-09-21 12:16:12 -0500}, Date-Modified = {2009-11-12 15:59:29 -0600}, Isi = {000085595300010}, Isi-Recid = {114016846}, Isi-Ref-Recids = {98780082 93810963 114016847 107609579 113333647 78957773 114016848 114016849 114016850 114016851 114016852 114016853 7228379 1111619 102054046 97685080 42513238 86390717 88018550 46034 51277746 104224633 106155730 83288108 114016854 114016855 88393333 106475547 83288104 15359538 112559860 36699933 8600964}, Journal = {Physiol. Entomol.}, Keywords = {epigenetic; gregarization; locust; maternal inheritance; Schistocerca gregaria; spatial pattern; vegetation distribution phase change}, Month = mar, Number = {1}, Pages = {74-81}, Publisher = {BLACKWELL SCIENCE LTD}, Times-Cited = {15}, Title = {Small-scale vegetation patterns in the parental environment influence the phase state of hatchlings of the desert locust}, Volume = {25}, Year = {2000}, Bdsk-File-1 = {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}} @article{DesColSim2000, Abstract = {Desert locusts (Schistocerca gregaria) change phase in response to population density: 'solitarious' insects avoid one another, but when crowded they shift to the gregarious phase and aggregate. This individual-level process is the basis for population-level responses that may ultimately include swarm formation. We have recently developed an individual-based model of locust behavior in which contagious resource distribution leads to phase change. This model shows how population gregarization can result from simple processes operating at the individual level. In the present study, we performed a series of laboratory experiments in which vegetation pattern and locust phase stale were assigned quantitative, measurable indices. The pattern of distribution of the resource was represented via fractal dimension; the phase slate was evaluated using a behavioral assay based on logistic regression analysis. Locusts were exposed to different patterns of food resource in an artificial arena, after which their behavioral phase state was assayed. These experiments showed that when the distribution of the vegetation was patchy, locusts were more active, experienced higher levels of crowding, and became more gregarious. These results are consistent with simulation predictions and held observations, and demonstrate that small-scale vegetation distribution influences individual behavior and phase state and plays a role in population-level responses.}, Address = {35 NORRE SOGADE, PO BOX 2148, DK-1016 COPENHAGEN, DENMARK}, Author = {Despland, E and Collett, M and Simpson, SJ}, Date-Added = {2009-09-21 12:14:33 -0500}, Date-Modified = {2009-09-21 12:14:33 -0500}, Isi = {000085813300022}, Isi-Recid = {114096730}, Isi-Ref-Recids = {114096731 93810963 98780082 76234249 83850162 114096732 114096733 43789806 114096734 114096735 12315215 7228379 8834456 13313716 53395546 114096736 73164590 86039133 67319393 114096737 46034 8239499 58715685 114096738 114096739 51277746 100819726 83288108 114096740 94814115 106475547 88393333 83288104 94814120 15359538 82262705 72152314 93774522 97595162 114096742 114096743 28500228}, Journal = {Oikos}, Month = mar, Number = {3}, Pages = {652-662}, Publisher = {MUNKSGAARD INT PUBL LTD}, Times-Cited = {25}, Title = {Small-scale processes in desert locust swarm formation: how vegetation patterns influence gregarization}, Volume = {88}, Year = {2000}, Bdsk-File-1 = {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}} @article{RogMatDes2003, Abstract = {Desert locusts show an extreme form of phenotypic plasticity, changing between a cryptic solitarious phase and a swarming gregarious phase that differ in many aspects of behaviour, physiology and appearance. Solitarious locusts show rapid behavioural phase change in response to tactile stimulation directed to the hind femora. Repeatedly touching as little as one quarter of the anterior (outer) surface area of a hind femur produced full behavioural gregarization within 4 h. Solitarious locusts have approximately 30\% more mechanosensory trichoid sensilla on the hind femora than do gregarious locusts but have similar or fewer numbers of sensilla elsewhere on the legs. Tactile stimulation of a hind femur in solitarious locusts that had been restrained so that they could not move their legs failed to induce any behavioural gregarization. Patterned electrical stimulation of metathoracic nerve 5, which innervates the hind leg, however, produced full gregarization in restrained locusts. Our data show for the first time that the gregarizing signal combines both exteroceptive and proprioceptive components, which travel in both nerves 5B1 and 5B2, and provides us with a powerful experimental method with which to elicit and study neuronal plasticity in this system. Acetic acid odour, a strong chemosensory stimulus that activates the same local processing pathways as exteroceptive stimuli, failed to elicit behavioural gregarization, suggesting an early segregation in the central nervous system of the mechanosensory signals that leads to gregarization.}, Address = {BIDDER BUILDING CAMBRIDGE COMMERCIAL PARK COWLEY RD, CAMBRIDGE CB4 4DL, CAMBS, ENGLAND}, Author = {Rogers, SM and Matheson, T and Despland, E and Dodgson, T and Burrows, M and Simpson, SJ}, Date-Added = {2009-09-21 12:12:37 -0500}, Date-Modified = {2009-11-12 15:58:36 -0600}, Doi = {DOI 10.1242/jeb.00648}, Isi = {000187393800017}, Isi-Recid = {132514008}, Isi-Ref-Recids = {108782812 33030456 93810963 46872876 42636342 56303830 87057394 119370436 6527706 13313717 23860411 53224237 117023897 31380781 42636350 65339939 67451517 66703737 92311244 76066467 74850128 107225586 73574835 86891745 113121191 116062507 83288108 83288104 88393333 106475547 126384077 58613028 112559860 119370435 15111292 13315357 35975970}, Journal = {J. Exp. Bio.}, Keywords = {phenotypic plasticity; phase transition; exteroception; proprioception; solitary; solitarious; gregarious; grasshopper; Schistocerca gregaria}, Month = nov, Number = {22}, Pages = {3991-4002}, Publisher = {COMPANY OF BIOLOGISTS LTD}, Times-Cited = {14}, Title = {Mechanosensory-induced behavioural gregarization in the desert locust Schistocerca gregaria}, Volume = {206}, Year = {2003}, Bdsk-File-1 = {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}} @article{HolChe1996, Abstract = {Desert locust population dynamics were modelled using the logistic equation with switches in r and K to mimic phase changes. An earlier model with stepwise switches of reproductive rates was modified to include switches of carrying capacity, dependent on population density and random environmental variation. This model reproduced the bi-stable pattern of plagues and recessions found in observed records. The mean duration and variance of plague lengths was dependent on parameter values, with lower values of both when the rates of reproduction were high enough to induce chaotic dynamics, A second family of models was explored in which the phase changes are treated as a catastrophic process governed by a cusp catastrophe function. Although it was necessary to constrain the models to prevent negative population values, these models also successfully reproduced the general pattern observed in nature, provided the parameters were held within limits and there was adequate environmental variation.}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Author = {Holt, J and Cheke, RA}, Date-Added = {2009-09-21 11:24:46 -0500}, Date-Modified = {2009-11-12 15:59:02 -0600}, Isi = {A1996VL66400009}, Isi-Recid = {97740690}, Isi-Ref-Recids = {83850162 97740691 35015843 97740692 64116095 97740693 97740694 76944296 46020 83288104 88393333 28284430 72990593 78599624 12381583 36476100 94814125 27507972}, Journal = {Ecol. Model.}, Keywords = {locust; phase; population dynamics; logistic equation; catastrophe theory; chaos}, Month = nov, Number = {1-3}, Pages = {131-137}, Publisher = {ELSEVIER SCIENCE BV}, Times-Cited = {7}, Title = {Models of desert locust phase changes}, Volume = {91}, Year = {1996}, Bdsk-File-1 = {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}} @article{PorOnnMuc2009, Author = {Porter, Mason A. and Onnela, Jukka-Pekka and Mucha, Peter J.}, Date-Added = {2009-09-14 07:51:52 -0500}, Date-Modified = {2009-09-14 07:57:04 -0500}, Journal = {Notices of the American Mathematical Society}, Month = {October}, Number = {9}, Pages = {1082-1097}, Title = {Communities in Networks}, Volume = {56}, Year = {2009}, Bdsk-File-1 = {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}} @article{CatPorSil2005, Abstract = {Parametrically-excited surface waves, forced by a repeating sequence of delta-function impulses, are considered within the framework of the Zhang-Vi{\~n}als model [W. Zhang and J. Vi{\~n}als, J. Fluid Mech. 336, 301 (1997)]. With impulsive forcing, the linear stability analysis can be carried out exactly and leads to an implicit equation for the neutral stability curves. As noted previously [J. Bechhoefer and B. Johnson, Am. J. Phys. 64, 1482 (1996)], in the simplest case of N=2 equally-spaced impulses per period (which alternate up and down) there are only subharmonic modes of instability. The familiar situation of alternating subharmonic and harmonic resonance tongues emerges only if an asymmetry in the spacing between the impulses is introduced. We extend the linear analysis for N=2 impulses per period to the weakly nonlinear regime, where we determine the leading order nonlinear saturation of one-dimensional standing waves as a function of forcing strength. Specifically, an analytic expression for the cubic Landau coefficient in the bifurcation equation is derived as a function of the dimensionless spacing between the two impulses and the fluid parameters that appear in the Zhang-Vi{\~n}als model. As the capillary parameter is varied, one finds a parameter regime of wave amplitude suppression, which is due to a familiar 1:2 spatiotemporal resonance between the subharmonic mode of instability and a damped harmonic mode. This resonance occurs for impulsive forcing even when harmonic resonance tongues are absent from the neutral stability curves. The strength of this resonance feature can be tuned by varying the spacing between the impulses. This finding is interpreted in terms of a recent symmetry-based analysis of multifrequency forced Faraday waves [J. Porter, C. M. Topaz, and M. Silber, Phys. Lett. 93, 034502 (2004); C. M. Topaz, J. Porter, and M. Silber, Phys. Rev. E 70, 066206 (2004)].}, Author = {Catll{\'a}, Anne and Porter, Jeff and Silber, Mary}, Date-Added = {2009-09-12 08:08:40 -0500}, Date-Modified = {2009-09-12 08:09:29 -0500}, Journal = {Phys Rev E}, Journal-Full = {Physical review. E, Statistical, nonlinear, and soft matter physics}, Month = {Nov}, Number = {5}, Pages = {056212}, Pmid = {16383732}, Title = {Weakly nonlinear analysis of impulsively-forced Faraday waves}, Volume = {72}, Year = {2005}, Bdsk-File-1 = {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}} @article{MikZan1999, Abstract = {We consider swarms formed by populations of self-propelled particles with attractive long-range interactions. These swarms represent multistable dynamical systems and can be found either in coherent traveling states or in an incoherent oscillatory state where translational motion of the entire swarm is absent. Under increasing the noise intensity, the coherent traveling state of the swarms is destroyed and an abrupt transition to the oscillatory state takes place. [S1063-651X(99)11309-6].}, Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, Author = {Mikhailov, AS and Zanette, DH}, Date-Added = {2009-09-11 21:10:12 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Isi = {000083414900045}, Isi-Recid = {112414693}, Isi-Ref-Recids = {99481794 39982513 73183206 108948169 93698031 108415213 99716805 34303665 102556743 112414695 82015098 79930028 85269495 89391495 55279158 3594446 105607880 88322204 105684519 66742944 105684548 100394843 82670506 93353221 105489628 95732836 93710003 107446574 92315696 85320171 103689946}, Journal = {Phys. Rev. E}, Month = oct, Number = {4}, Pages = {4571-4575}, Publisher = {AMERICAN PHYSICAL SOC}, Times-Cited = {50}, Title = {Noise-induced breakdown of coherent collective motion in swarms}, Volume = {60}, Year = {1999}, Bdsk-File-1 = {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}} @article{MacSch2007, Abstract = {Based on experimental observations in Daphnia, we introduce an agent-based model for the motion of single and swarms of animals. Each agent is described by a stochastic equation that also considers the conditions for active biological motion. An environmental potential further reflects local conditions for Daphnia, such as attraction to light sources. This model is sufficient to describe the observed cycling behavior of single Daphnia. To simulate vortex swarming of many Daphnia, i.e. the collective rotation of the swarm in one direction, we extend the model by considering avoidance of collisions. Two different ansatzes to model such a behavior are developed and compared. By means of computer simulations of a multi-agent system we show that local avoidance-as a special form of asymmetric repulsion between animals-leads to the emergence of a vortex swarm. The transition from uncorrelated rotation of single agents to the vortex swarming as a function of the swarm size is investigated. Eventually, some evidence of avoidance behavior in Daphnia is provided by comparing experimental and simulation results for two animals.}, Address = {233 SPRING STREET, NEW YORK, NY 10013 USA}, Author = {Mach, Robert and Schweitzer, Frank}, Date-Added = {2009-09-11 21:07:28 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Doi = {DOI 10.1007/s11538-006-9135-3}, Isi = {000244451400005}, Isi-Recid = {154786713}, Isi-Ref-Recids = {130072509 40149776 142595523 154786714 128204487 126937837 115609467 97158757 109579744 108878822 123067656 146785951 114977156 133725792 146192497 108835554 154786715 120782697 109290683 108835559 58893724 102250725 79930028 88691888 86016906 64383206 154786716 97253248 131074393 93149974 105138738 133085400 127797199 58596722 112414693 132362663 133085398 128708941 142220774 132362665 130291386 154786717 109415686 125361079 108835566 51310762 105489628 99989794 121161633 134703851 101092311 112906960 93710003 92315696}, Journal = {Bull. Math. Bio.}, Keywords = {active motion; swarming; zooplankton; Brownian agents}, Month = feb, Number = {2}, Pages = {539-562}, Publisher = {SPRINGER}, Times-Cited = {7}, Title = {Modeling vortex swarming in Daphnia}, Volume = {69}, Year = {2007}, Bdsk-File-1 = {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}} @phdthesis{Leo1992, Author = {Leong, Tishya Anne}, Date-Added = {2009-09-11 21:01:14 -0500}, Date-Modified = {2010-11-08 09:40:24 -0600}, Keywords = {swarm quad treet data structure aggregation}, School = {Amherst College}, Title = {Data Structures for Fish Schools}, Year = {1992}, Bdsk-File-1 = {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}} @article{HueAld2008, Abstract = {We compare three simple models that reproduce qualitatively the emergent swarming behavior of bird flocks, fish schools, and other groups of self-propelled agents by using a new set of diagnosis tools related to the agents' spatial distribution. Two of these correspond in fact to different implementations of the same model, which had been previously confused in the literature. All models appear to undergo a very similar order-to-disorder phase transition as the noise level is increased if we only compare the standard order parameter, which measures the degree of agent alignment. When considering our novel quantities, however, their properties are clearly distinguished, unveiling previously unreported qualitative characteristics that help determine which model best captures the main features of realistic swarms. Additionally, we analyze the agent clustering in space, finding that the distribution of cluster sizes is typically exponential at high noise, and approaches a power-law as the noise level is reduced. This trend is sometimes reversed at noise levels close to the phase transition, suggesting a non-trivial critical behavior that could be verified experimentally. Finally, we study a bi-stable regime that develops under certain conditions in large systems. By computing the probability distributions of our new quantities, we distinguish the properties of each of the coexisting metastable states. Our study suggests new experimental analyses that could be carried out to characterize real biological swarms. (C) 2008 Elsevier B.V. All rights reserved.}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Author = {Huepe, Christian and Aldana, Maximino}, Date-Added = {2009-09-11 20:57:50 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Doi = {DOI 10.1016/j.physa.2008.01.081}, Isi = {000255378800014}, Isi-Recid = {162373517}, Isi-Ref-Recids = {162373518 97216042 129478963 154989240 162373519 150789156 150386996 126937837 142595523 156397440 99716805 115609467 146192497 108835554 132950025 91653521 97728150 134425701 88691888 162373520 126404507 150789153 153420603 109415686 108835566 66742944 109723489 95732836 135041119 93710003 92315696 135574465 76359006}, Journal = {Phys. A.}, Keywords = {swarms; self-propelled particle; swarming models; collective motion; phase transitions; non-equilibrium systems}, Month = may, Number = {12}, Pages = {2809-2822}, Publisher = {ELSEVIER SCIENCE BV}, Times-Cited = {2}, Title = {New tools for characterizing swarming systems: A comparison of minimal models}, Volume = {387}, Year = {2008}, Bdsk-File-1 = {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}, Bdsk-Url-1 = {http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS&DestLinkType=FullRecord;KeyUT=000255378800014}} @article{CziBarVic1999, Abstract = {We demonstrate that a system of self-propelled particles exhibits spontaneous symmetry breaking and self-organization in one dimension, in contrast with previous analytical predictions. To explain this surprising result we derive a new continuum theory that can account for the development of the symmetry broken state and belongs to the same universality class as the discrete self-propelled particle model. [S0031-9007(98)07911-3].}, Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, Author = {Czirok, A and Barabasi, AL and Vicsek, T}, Date-Added = {2009-09-11 20:43:21 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Isi = {000077887000052}, Isi-Recid = {108415213}, Isi-Ref-Recids = {97216042 81809111 104340290 92183966 88335150 99716807 86129645 86185569 101088146 102335446 93698031 99716805 71585612 92695084 89835460 71399860 102250725 95045471 92429416 108415214 31301507 12630251 95967410 93353238 66742944 108415215 21071066 93710003 92315696}, Journal = {Physical Review Letters}, Month = jan, Number = {1}, Pages = {209-212}, Publisher = {AMERICAN PHYSICAL SOC}, Times-Cited = {57}, Title = {Collective motion of self-propelled particles: Kinetic phase transition in one dimension}, Volume = {82}, Year = {1999}, Bdsk-File-1 = {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}, Bdsk-File-2 = {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}, Bdsk-Url-1 = {http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS&DestLinkType=FullRecord;KeyUT=000077887000052}} @article{BalCalCan2008, Abstract = {Numerical models indicate that collective animal behavior may emerge from simple local rules of interaction among the individuals. However, very little is known about the nature of such interaction, so that models and theories mostly rely on aprioristic assumptions. By reconstructing the three-dimensional positions of individual birds in airborne flocks of a few thousand members, we show that the interaction does not depend on the metric distance, as most current models and theories assume, but rather on the topological distance. In fact, we discovered that each bird interacts on average with a fixed number of neighbors (six to seven), rather than with all neighbors within a fixed metric distance. We argue that a topological interaction is indispensable to maintain a flock's cohesion against the large density changes caused by external perturbations, typically predation. We support this hypothesis by numerical simulations, showing that a topological interaction grants significantly higher cohesion of the aggregation compared with a standard metric one.}, Address = {2101 CONSTITUTION AVE NW, WASHINGTON, DC 20418 USA}, Author = {Ballerini, M. and Calbibbo, N. and Candeleir, R. and Cavagna, A. and Cisbani, E. and Giardina, I. and Lecomte, V. and Orlandi, A. and Parisi, G. and Procaccini, A. and Viale, M. and Zdravkovic, V.}, Date-Added = {2009-09-11 20:38:21 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Doi = {DOI 10.1073/pnas.0711437105}, Isi = {000252873900028}, Isi-Recid = {160448401}, Isi-Ref-Recids = {46465596 47064145 128741830 150386996 115793009 126937837 129614667 11736958 108415213 87724452 2659634 160448402 129411562 28970240 71837492 130579335 132950025 97728150 100846289 116840195 160448403 79930028 123861357 130023070 126937841 131074393 18165472 43788701 35932887 144628258 125361079 109415686 39688736 95753236 79634662 66742944 91739773 94215984 92315696}, Journal = {Proceedings of the National Academy of Sciences of the United States of America}, Keywords = {animal groups; behavioral rules; flocking; self-organization}, Month = jan, Number = {4}, Pages = {1232-1237}, Publisher = {NATL ACAD SCIENCES}, Times-Cited = {26}, Title = {Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study}, Volume = {105}, Year = {2008}, Bdsk-File-1 = {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}} @article{AlbGliHen2005, Abstract = {The stability of Turing patterns in an n-dimensional cube (0, pi)(n) is studied, where n greater than or equal to 2. It is shown by using a generalization of a classical result of Ermentrout concerning spots and stripes in two dimensions that under appropriate assumptions only sheet-like or nodule-like structures can be stable in an n-dimensional cube. Other patterns can also be stable in regions comprising products of lower-dimensional cubes and intervals of appropriate length. Stability results are applied to a new model of skeletal pattern formation in the vertebrate limb.}, Address = {DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND}, Author = {Alber, M and Glimm, T and Hentschel, HGE and Kazmierczak, B and Newman, SA}, Date-Added = {2009-09-11 20:35:22 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Doi = {DOI 10.1088/0951-7715/18/1/007}, Isi = {000226787800008}, Isi-Recid = {144821921}, Isi-Ref-Recids = {102066119 72574606 142852874 142852875 84569481 142852876 76897309 142852877 22460537 142852878 136067490 48051175 134367822 33414126 18117702 125146424 67749155 37833550 76812059 95622662 99530258 49304}, Journal = {Nonlinearity}, Month = jan, Number = {1}, Pages = {125-138}, Publisher = {IOP PUBLISHING LTD}, Times-Cited = {8}, Title = {Stability of n-dimensional patterns in a generalized Turing system: implications for biological pattern formation}, Volume = {18}, Year = {2005}, Bdsk-File-1 = {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}} @article{Alb1996, Author = {Albano, E.}, Date-Added = {2009-09-11 19:24:36 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Journal-Full = {Physical review letters}, Month = {Sep}, Number = {10}, Pages = {2129-2132}, Pmid = {10061864}, Title = {Self-Organized Collective Displacements of Self-Driven Individuals}, Volume = {77}, Year = {1996}, Bdsk-File-1 = {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}} @article{NewCha2009, Abstract = {Recent experiments on the formation of vortex lattices in Bose-Einstein condensates hits produced the need for it mathematical theory that is capable of predicting a broader class of lattice patterns, ones that are free of discrete symmetries and can form in a random environment. We give an overview of an N-particle based Hamiltonian theory which, if formulated in terms of the O(N-2) interparticle distances, leads to the analysis of a nonnormal "configuration" matrix whose nullspace structure determines the existence or nonexistence of a lattice. The singular value decomposition of this matrix leads to a method in which all lattice patterns and the associated particle strengths, in principle, can be classified and calculated by a random-walk scheme which systematically uses the m. smallest singular values as a ratchet mechanism to home in on lattices with m-dimensional nullspaces, where 0 < m <= N. The resulting distribution of singular values encodes detailed geometric properties of the lattice and allows its to identify and calculate important quantitative measures associated with each lattice, including its size (as measured by the Frobenius or 2-norms), distance between the lattices (hence lattice density), robustness, and Shannon entropy as a quantitative measure of its level of disorder. This article gives an overview of vortex lattice theory from 1957 to the present, highlighting recent experiments in Bose-Einstein condensate systems and formulating questions that can be addressed by understanding the singular value decomposition of the configuration matrix. We discuss some of the computational challenges associated with producing large N lattices, the subtleties associated with understanding and exploiting complicated Hamiltonian energy surfaces in high dimensions, and we highlight ten important directions for future research in this area.}, Address = {3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA}, Author = {Newton, Paul K. and Chamoun, George}, Date-Added = {2009-09-11 11:20:25 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Doi = {DOI 10.1137/07068597X}, Isi = {000269414900002}, Isi-Recid = {183264513}, Isi-Ref-Recids = {88931478 119476311 4461174 142347097 99788615 120012843 107582973 99972983 153983701 144176673 124065961 155399905 47771594 104807465 132027485 107227134 156803550 158950399 144415886 57459013 88602141 88316883 155534924 108599260 43285635 183264514 38351041 183264515 59444216 131242110 183264516 99414424 109909283 183264517 154519812 106557811 95974754 99416707 93834282 105879849 72745292 113243018 162581506 78444958 126246730 129392444 78191826 13550522 12232660 183264518 135631788 93306586 133901819 817469 79710141 16754976 100841078 115499406 113339271 175061507 148246911 120295963 145750858 95541245 9043453 67810907 334929 152941743 106701002 106168240 113919063 7803554 144838451 143203700 114748638 157174269 136244171 57326381 183264519 520759 101100703 183264520 146552000 120890508 97652892 172338513 104373554 95592318 154416526 183264521 63136649 155534942 34742132 94586569 73295275 156438599 153318970 128831536 83188106 75045171 97852917 124157859 99036168 158969799 38482 119336272 28628832 61736092 92993857 8101060 3386205 28628869 183264522 8351828 11506323 11506331 104433003 153983700 28628871 60665146 105939487 28628874 37613043 173567819}, Journal = {SIAM Review}, Keywords = {Abrikosov lattices; Bose-Einstein condensates; singular value decomposition; Brownian ratchets; Shannon entropy; random-walk schemes; Thomson's problem; mesh generation; Kullback-Leibler divergence}, Month = sep, Number = {3}, Pages = {501-542}, Publisher = {SIAM PUBLICATIONS}, Times-Cited = {0}, Title = {Vortex Lattice Theory: A Particle Interaction Perspective}, Volume = {51}, Year = {2009}, Bdsk-Url-1 = {http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS&DestLinkType=FullRecord;KeyUT=000269414900002}} @article{ConRie2009, Author = {Conway, Jessica M. and Riecke, H.}, Date-Added = {2009-09-10 09:10:39 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {SIAM J. Appl. Dyn. Sys.}, Keywords = {pattern formation; quasipatterns; complex GinzburgLandau equation; resonantly forced oscillators; quasi-periodic forcing; chemical oscillations}, Number = {3}, Pages = {977-1004}, Title = {Superlattice Patterns in the Complex {G}inzburg--{L}andau Equation with Multiresonant Forcing}, Volume = {8}, Year = {2009}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAewAAAAAAewAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugpDb25SaWUyMDA5AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALdJ/xs5yYVBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbOuLEAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBqTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAQ29uUmllMjAwOQAOABYACgBDAG8AbgBSAGkAZQAyADAAMAA5AA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAVFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvQ29uUmllMjAwOQATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBMLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvQ29uUmllMjAwOdIcHSQloiUhXE5TRGljdGlvbmFyeRIAAYagXxAPTlNLZXllZEFyY2hpdmVyAAgAEQAWAB8AKAAyADUAOgA8AEUASwBSAF0AZQBsAG8AcQBzAHYAeAB6AHwAhgCTAJgAoAKQApIClwKgAqsCrwK9AsQCzQMcAyEDJAMxAzYAAAAAAAACAQAAAAAAAAAoAAAAAAAAAAAAAAAAAAADSA==}} @article{UndHerGra2008, Abstract = {Populations of swimming micro-organisms produce fluid motions that lead to dramatically enhanced diffusion of tracer particles. Using simulations of suspensions of swimming particles in a periodic domain, we capture this effect and show that it depends qualitatively on the mode of swimming: swimmers "pushed" from behind by their flagella show greater enhancement than swimmers that are "pulled" from the front. The difference is manifested by an increase, that only occurs for pushers, of the diffusivity of passive tracers and the velocity correlation length with the size of the periodic domain. A physical argument supported by a mean field theory sheds light on the origin of these effects.}, Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, Author = {Underhill, Patrick T. and Hernandez-Ortiz, Juan P. and Graham, Michael D.}, Date-Added = {2009-09-10 09:04:05 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Doi = {DOI 10.1103/PhysRevLett.100.248101}, Isi = {000256942400078}, Isi-Recid = {171639551}, Isi-Ref-Recids = {154401233 163288202 105980272 124814804 136147224 146485426 144741262 163288203 147401750 155613399 159044946 157565081 153293708 159044949 123552829 135973926 133855137 152154553 28896572 152794595 104031759 160739393 108482513 103151434 151946149 31007195 145206365 162376279 157496331 125713305 156458343 163288204 834312 92315696 155597030 114301930}, Journal = {Phys. Rev. Lett.}, Month = jun, Number = {24}, Publisher = {AMER PHYSICAL SOC}, Times-Cited = {9}, Title = {Diffusion and spatial correlations in suspensions of swimming particles}, Volume = {100}, Year = {2008}, Bdsk-File-1 = {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}} @article{AlbBar20003, Author = {Albert, R. and Barab{\'{a}}si, A. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-12 08:13:41 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Dec.}, Number = {24}, Pages = {5234-5237}, Title = {Topology of Evolving Networks: {L}ocal Events and Universality}, Volume = {85}, Year = {2000}, Bdsk-File-1 = {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}} @book{Alb1967, Address = {Paris}, Author = {Albrecht, F. O.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Publisher = {Masson}, Series = {Les Grands Probl{\`{e}}mes de la Biologie}, Title = {Polymorphisme Phasaire et Biologie des Acridiens Migrateurs}, Year = {1967}} @article{AldHue2003, Author = {Aldana, M. and Huepe, C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {J. Stat. Phys.}, Month = {Jul.}, Number = {1-2}, Pages = {135-153}, Title = {Phase Transitions in Self-Driven Many-Particle Systems and Related Non-Equilibrium Models: A Network Approach}, Volume = {112}, Year = {2003}} @article{AllAreDiG2001, Author = {Allaria, E. and Arecchi, F. T. and Di{G}arbo, A. and Meucci, R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jan.}, Number = {5}, Pages = {791-794}, Title = {Synchronization of Homoclinic Chaos}, Volume = {86}, Year = {2001}, Bdsk-File-1 = {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}} @article{AlmKulStr2002, Author = {Almaas, E. and Kulkarni, R. V. and Stroud, D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Mar.}, Number = {9}, Pages = {098101.1-098101.4}, Title = {Characterizing the Structure of Small-World Networks}, Volume = {88}, Year = {2002}, Bdsk-File-1 = {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}} @article{Alt1985, Author = {Alt, W.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Nonlinear Analyis}, Pages = {811-836}, Title = {Degenerate Diffusion Equations with Drift Functionals Modeling Aggregation}, Volume = {9}, Year = {1985}, Bdsk-File-1 = {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}} @article{AmbPhiBas2000, Author = {Ambravaneswaran, B. and Phillips, S. D. and Basaran, O. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Dec.}, Number = {25}, Pages = {5332-5335}, Title = {Theoretical Analysis of a Dripping Faucet}, Volume = {85}, Year = {2000}, Bdsk-File-1 = {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}} @article{AndChaHec2001, Author = {Andersen, K. H. and Chabanol, M. L. and van Hecke, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. E}, Month = {Jun.}, Pages = {066308.1-066308.8}, Title = {Dynamical Models for Sand Ripples Beneath Surface Waves}, Volume = {63}, Year = {2001}, Bdsk-File-1 = {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}} @article{AraNayChi1998, Author = {Arafat, H. N. and Nayfeh, A. H. and Chin, C. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Nonlin. 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Rev. Lett.}, Month = {Nov.}, Number = {20}, Pages = {4384-4387}, Title = {Spatial and Temporal Dynamics of Two Interacting Modes in Parametrically Driven Surface Waves}, Volume = {81}, Year = {1998}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAewAAAAAAewAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugpBcmJGaW4xOTk4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbgSxsMeVVBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDZKUAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBqTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAQXJiRmluMTk5OAAOABYACgBBAHIAYgBGAGkAbgAxADkAOQA4AA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAVFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvQXJiRmluMTk5OAATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBMLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvQXJiRmluMTk5ONIcHSQloiUhXE5TRGljdGlvbmFyeRIAAYagXxAPTlNLZXllZEFyY2hpdmVyAAgAEQAWAB8AKAAyADUAOgA8AEUASwBSAF0AZQBsAG8AcQBzAHYAeAB6AHwAhgCTAJgAoAKQApIClwKgAqsCrwK9AsQCzQMcAyEDJAMxAzYAAAAAAAACAQAAAAAAAAAoAAAAAAAAAAAAAAAAAAADSA==}} @article{ArbFin2000, Author = {Arbell, H. and Fineberg, J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. 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Lett.}, Month = {Jan.}, Number = {4}, Pages = {654-657}, Title = {Two-Mode Rhomboidal States in Driven Surface Waves}, Volume = {84}, Year = {2000}, Bdsk-File-1 = {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}} @article{ArbFin20000, Author = {Arbell, H. and Fineberg, J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. 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Lett.}, Month = {Jul.}, Number = {4}, Pages = {756-759}, Title = {Temporally Harmonic Oscillons in {N}ewtonian fluids}, Volume = {85}, Year = {2000}, Bdsk-File-1 = {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}} @article{ArbFin2002, Author = {Arbell, H. and Fineberg, J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. 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E}, Month = {Mar.}, Pages = {036244.1-036244.29}, Title = {Pattern Formation in Two-Frequency Forced Parametric Waves}, Volume = {65}, Year = {2002}, Bdsk-File-1 = {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}} @article{ArgCouRis2001, Author = {Argentina, M. and Coullet, P. and Risler, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jan.}, Number = {5}, Pages = {807-809}, Title = {Self-Parametric Instability in Spatially Extended Systems}, Volume = {86}, Year = {2001}, Bdsk-File-1 = {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}} @article{AriStr2001, Author = {Ariaratnam, J. T. and Strogatz, S. H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {May}, Number = {19}, Pages = {4278-4281}, Title = {Phase Diagram for the {W}infree Model of Coupled Nonlinear Oscillators}, Volume = {86}, Year = {2001}, Bdsk-File-1 = {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}} @article{ArmGeoOpr2001, Author = {Armbruster, D. and George, M. and Oprea, I.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Chaos}, Month = {Mar.}, Number = {1}, Pages = {52-56}, Title = {Parametrically forced pattern formation}, Volume = {11}, Year = {2001}, Bdsk-File-1 = {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}} @article{ArmGucHol1988, Author = {Armbruster, D. and Guckenheimer, J. and Holmes, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Physica D}, Month = {Jan.}, Number = {3}, Pages = {257-282}, Title = {Heteroclinic Cycles and Modulated Travelling Waves in Systems with {O}(2) Symmetry}, Volume = {29}, Year = {1988}, Bdsk-File-1 = {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}} @article{ArmGucHol1989, Author = {Armbruster, D. and Guckenheimer, J. and Holmes, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {SIAM J. Applied Math.}, Month = {Jun.}, Number = {3}, Pages = {676-691}, Title = {Kuramoto-Sivashinsky Dynamics on the Center-Unstable Manifold}, Volume = {49}, Year = {1989}, Bdsk-File-1 = {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}} @article{Ast1998, Author = {Aston, P. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Physica D}, Month = {Jul.}, Number = {3-4}, Pages = {199-220}, Title = {A Chaotic {H}opf Bifurcation in Coupled Maps}, Volume = {118}, Year = {1998}, Bdsk-File-1 = {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}} @article{Ben1900, Author = {B{\'{e}}nard, H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Ann. Chim. Phys.}, Pages = {62}, Series = {23}, Title = {Les tourbillons cellulaires dans une nappe liquide transportent de la chaleur par convection en regime permanent}, Volume = {7}, Year = {1900}} @article{BacCebDab1994, Author = {Bacri, J. C. and Cebers, A. and Dabadie, J. C. and Neveu, S. and Perzynski, R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Europhys. Lett.}, Month = {Aug.}, Number = {6}, Pages = {437-443}, Title = {Threshold and Marginal Curve of Magnetic {F}araday Instability}, Volume = {27}, Year = {1994}} @article{BacCebDab19940, Author = {Bacri, J. C. and Cebers, A. and Dabadie, J. C. and Perzynski, R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. E}, Month = {Oct.}, Number = {4}, Pages = {2712-2715}, Title = {Roll-Rectangle transition in the Magnetic Fluid {F}araday Instability}, Volume = {50}, Year = {1994}, Bdsk-File-1 = {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}} @unpublished{BarPec2001, Author = {Barahona, M. and Pecora, L. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Note = {Preprint}, Title = {Synchronization in Small-World Networks}, Year = {2001}, Bdsk-File-1 = {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}} @article{BasRos1993, Author = {Bashtovoi, V. G. and Rosenzweig, R. E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {J. Magn. Magn. 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W. and Fife, P. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Physica D}, Number = {2-3}, Pages = {335-348}, Title = {Spectral Comparison Principles for the {C}ahn-{H}illiard and Phase-Field Equations, and Time Scales for Coarsening}, Volume = {43}, Year = {1990}} @article{BecEgoMan1995, Author = {Bechhoefer, J. and Ego, V. and Manneville, S. and Johnson, B.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {J. Fluid Mech.}, Month = {Apr.}, Pages = {325-350}, Title = {An Experimental Study of the Onset of Parametrically Pumped Surface Waves in Viscous Fluids}, Volume = {288}, Year = {1995}, Bdsk-File-1 = {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}} @article{BecJoh1996, Author = {Bechhoefer, J. and Johnson, B.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Am. J. Phys.}, Month = {Dec.}, Number = {12}, Pages = {1482-1487}, Title = {A Simple Model for {F}araday Waves}, Volume = {64}, Year = {1996}} @article{BeeFar1999, Author = {Beecham, J. A. and Farnsworth, K. D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {J. Theor. Biol.}, Month = {Jun.}, Number = {4}, Pages = {533-548}, Title = {Animal Group Forces Resulting from Predator Avoidance and Competition Minimization}, Volume = {198}, Year = {1999}, Bdsk-File-1 = {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}} @article{BelSheEld2001, Author = {Belmonte, A. and Shelley, M. J. and Eldakar, S. T. and Wiggins, C. H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Sept.}, Number = {11}, Pages = {114301.1-114301.4}, Title = {Dynamic Patterns and Self-Knotting of a Driven Hanging Chain}, Volume = {87}, Year = {2001}, Bdsk-File-1 = {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}} @article{BenSchTen1994, Author = {Ben-{J}acob, E. and Schochet, O. and Tenenbaum, A. and Cohen, I. and Czir{\'o}k, A. and Vicsek, T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Nature}, Month = {Mar.}, Number = {6466}, Pages = {46-49}, Title = {Generic Modelling of Cooperative Growth Patterns in Bacterial Colonies}, Volume = {368}, Year = {1994}, Bdsk-File-1 = {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}} @article{BenCohCzi1997, Author = {Ben-{J}acob, E. and Cohen, I. and Czir{\'o}k, A. and Vicsek, T. and Gutnick, D. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Physica A}, Month = {Apr.}, Number = {1-4}, Pages = {181-197}, Title = {Chemomodulation of Cellular Movement, Collective Formation of Vortices by Swarming Bacteria, and Colonial Development}, Volume = {238}, Year = {1997}, Bdsk-File-1 = {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}} @article{BenCohLev2000, Author = {Ben-{J}acob, E. and Cohen, I. and Levine, H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Adv. Phys.}, Month = {Jun.}, Number = {4}, Pages = {395-554}, Title = {Cooperative Self-Organization of Microorganisms}, Volume = {49}, Year = {2000}} @article{BenUrs1954, Author = {Benjamin, T. B. and Ursell, F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Proc. R. Soc. Lond. A}, Pages = {505-515}, Title = {The Stability of a Plane Free Surface of a Liquid in Vertical Periodic Motion}, Volume = {225}, Year = {1954}, Bdsk-File-1 = {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}} @article{BerDolYan2004, Author = {Berenstein, I. and Dolnik, M. and Yang, L. and Zhabotinsky, A. M. and Epstein, I. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2011-05-26 10:10:11 -0500}, Journal = {Phys. Rev. E}, Keywords = {turing two layer pattern}, Month = {Oct.}, Pages = {046219.1-046219.5}, Title = {{T}uring Pattern Formation in a Two-Layer System: Superposition and Superlattice Patterns}, Volume = {70}, Year = {2004}, Bdsk-File-1 = {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}} @article{BerDolA.-2003, Author = {Berenstein, I. and Dolnik, M. and and A. M. Zhabotinsky and Epstein, I. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {J. Phys. Chem. 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M. and Epstein, I. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Aug.}, Number = {5}, Pages = {058302.1-058302.4}, Title = {Superlattice {T}uring Structures in a Photosensitive Reaction-Diffusion System}, Volume = {91}, Year = {2003}, Bdsk-File-1 = {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}} @article{BerMun2006, Author = {Berenstein, I. and Mu{\~{n}}uzuri, A. P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. 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J. and Bertozzi, A. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Physica D}, Month = {Aug.}, Number = {3}, Pages = {375-404}, Title = {Singularities in a Modified {K}uramoto-{S}ivashinsky Equation Describing Interface Motion for Phase Transition}, Volume = {85}, Year = {1995}, Bdsk-File-1 = {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}} @inproceedings{BerBerSap2001, Address = {Kauai, HI}, Author = {Bertalmio, M. and Bertozzi, A. L. and Saprio, G.}, Booktitle = {Proceedings of the International Conference on Computer Vision and Pattern Recognition}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Month = {Dec.}, Organization = {IEEE}, Pages = {I.355-I.362}, Title = {Navier-{S}tokes, Fluid Dynamics, and Image and Video Inpainting}, Volume = {1}, Year = {2001}, Bdsk-File-1 = {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}} @article{BerBarKur2001, Author = {Berthier, L. and Barrat, J. L. and Kurchan, J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Mar.}, Number = {10}, Pages = {2014-2017}, Title = {Phase Separation in a Chaotic Flow}, Volume = {86}, Year = {2001}, Bdsk-File-1 = {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}} @article{BerCon1993, Author = {Bertozzi, A. L. and Constantin, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Comm. Math. Phys.}, Month = {Feb.}, Number = {1}, Pages = {19-28}, Title = {Global Regularity for Vortex Patches}, Volume = {152}, Year = {1993}} @article{BerGruWit2001, Author = {Bertozzi, A. L. and Gr{\"{u}}n, G. and Witelski, T. P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Nonlinearity}, Month = {Nov.}, Number = {6}, Pages = {1569-1592}, Title = {Dewetting Films: Bifurcations and Concentrations}, Volume = {14}, Year = {2001}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1CZXJHcnVXaXQyMDAxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALb+dxsMf3VBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDZi0AAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAQmVyR3J1V2l0MjAwMQAADgAcAA0AQgBlAHIARwByAHUAVwBpAHQAMgAwADAAMQAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0JlckdydVdpdDIwMDEAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9CZXJHcnVXaXQyMDAx0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{BerLau2007, Author = {Bertozzi, A. L. and Laurent, T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-10-26 15:55:36 -0500}, Journal = {Comm. Math. Phys.}, Month = {Sep.}, Number = {3}, Pages = {717-735}, Title = {Finite-Time Blow-Up of Solutions of an Aggregation Equation in $\mathbb{R}^n$}, Volume = {274}, Year = {2007}} @mastersthesis{Ber1999, Author = {Bertram, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Month = {Aug.}, School = {University of Texas}, Title = {A Numerical Study of Resonant Pattern Formation in the {B}russelator Reaction-Diffusion Model}, Year = {1999}, Bdsk-File-1 = {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}} @article{BerMik2001, Author = {Bertram, M. and Mikhailov, A. S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. E}, Month = {Jun.}, Pages = {066102.1-066102.13}, Title = {Pattern Formation in a Surface Chemical Reaction with Global Delayed Feedback}, Volume = {63}, Year = {2001}, Bdsk-File-1 = {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}} @article{BesEdwTuc1996, Author = {Besson, T. and Edwards, W. S. and Tuckerman, L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. E}, Month = {Jul.}, Number = {1}, Pages = {507-513}, Title = {Two-Frequency Parametric Excitation of Surface Waves}, Volume = {54}, Year = {1996}, Bdsk-File-1 = {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}} @article{BesFri1999, Author = {Bestehorn, M. and Friedrich, R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. E}, Month = {Mar.}, Number = {3}, Pages = {2642-2652}, Title = {Rotationally Invariant Order Parameter Equations for Natural Patterns in Nonequilibrium Systems}, Volume = {59}, Year = {1999}, Bdsk-File-1 = {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}} @article{BeyFri1995, Author = {Beyer, J. and Friedrich, R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. E}, Month = {Feb.}, Number = {2}, Pages = {1162-1168}, Title = {{F}araday Instability: {L}inear Analysis for Viscous Fluids}, Volume = {51}, Year = {1995}, Bdsk-File-1 = {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}} @article{BinWat1997, Author = {Binks, D. and van de Water, W.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {May}, Number = {21}, Pages = {4043-4046}, Title = {Nonlinear Pattern Formation of {F}araday Waves}, Volume = {78}, Year = {1997}, Bdsk-File-1 = {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}, Bdsk-File-2 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1CaW5XZXNXYXQxOTk3AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALatGxsMgO1BERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDZosAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAQmluV2VzV2F0MTk5NwAADgAcAA0AQgBpAG4AVwBlAHMAVwBhAHQAMQA5ADkANwAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0Jpbldlc1dhdDE5OTcAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9CaW5XZXNXYXQxOTk30hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{BinWesWat1997, Author = {Binks, D. and Westra, M. T. and van de Water, W.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Dec.}, Number = {25}, Pages = {5010-5013}, Title = {Effect of Depth on the Pattern Formation of {F}araday Waves}, Volume = {79}, Year = {1997}, Bdsk-File-1 = {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}} @article{BleSoc2000, Author = {Bleich, M. E. and Socolar, J. E.S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Int. J. Bifurcat. Chaos}, Month = {Mar.}, Number = {3}, Pages = {603-609}, Title = {Delayed Feedback Control of a Paced Excitable Oscillator}, Volume = {10}, Year = {2000}, Bdsk-File-1 = {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}} @book{Blo1965, Address = {New York}, Author = {Bloembergen, N.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Publisher = {W. A. Benjamin, Inc.}, Series = {Frontiers in Physics}, Title = {Nonlinear Optics}, Year = {1965}} @article{BloDow1994, Author = {Blower, S. M. and Dowlatabadi, H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Int. Stat. Rev.}, Month = {Aug.}, Number = {2}, Pages = {229-243}, Title = {Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission}, Volume = {62}, Year = {1994}, Bdsk-File-1 = {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}} @article{BodVel2005, Author = {Bodnar, M. and Velasquez, J. J.L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Math. Meth. Appl. Sci.}, Month = {Oct.}, Number = {15}, Pages = {1757-1779}, Title = {Derivation of Macroscopic Equations for Individual Cell-Based Models: A Formal Approach}, Volume = {28}, Year = {2005}, Bdsk-File-1 = {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}} @article{BodVel2006, Author = {Bodnar, M. and Velasquez, J. J.L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {J. Diff. Eq.}, Month = {Mar.}, Number = {2}, Pages = {341-380}, Title = {An Integro-Differential Equation Arising as a Limit of Individual Cell-Based Models}, Volume = {222}, Year = {2006}, Bdsk-File-1 = {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}} @book{BonDorThe1999, Address = {New York}, Author = {Bonabeu, E. and Dorigo, M. and Theraulaz, G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Publisher = {Oxford University Press}, Series = {Santa Fe Institute Studies in the Sciences of Complexity}, Title = {Swarm Intelligence: From Natural to Artificial Systems}, Year = {1999}} @article{BreMcGTop2006, Author = {Breban, R. and McGowan, I. and Topaz, C. M. and Schwartz, E. and Anton, P. and Blower, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-11-13 09:36:10 -0600}, Journal = {Math. Biosci. Engin.}, Number = {3}, Pages = {459-466}, Title = {Modeling the Potential Impact of Rectal Microbicides to Reduce {HIV} Transmission in Bathhouses}, Volume = {3}, Year = {2006}} @article{Bre1954, Author = {Breder, C. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-11-12 15:51:55 -0600}, Journal = {Ecol.}, Number = {3}, Pages = {361-370}, Title = {Equations Descriptive of Fish Schools and Other Animal Aggregations}, Volume = {35}, Year = {1954}, Bdsk-File-1 = {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}} @article{Bre1959, Author = {Breder, C. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Bull. Amer. Mus. Nat. Hist.}, Pages = {397-481}, Title = {Studies on Social Groupings in Fishes}, Volume = {117}, Year = {1959}} @article{Bre1996, Author = {Bressloff, P. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jun.}, Number = {24}, Pages = {4644-4647}, Title = {New Mechanism for Neural Pattern Formation}, Volume = {76}, Year = {1996}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAeIAAAAAAeIAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugdCcmUxOTk2AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbCpxsMfDFBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDZVwAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBnTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAQnJlMTk5NgAADgAQAAcAQgByAGUAMQA5ADkANgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFFVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0JyZTE5OTYAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEEkuLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9CcmUxOTk20hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAoYCiAKNApYCoQKlArMCugLDAw8DFAMXAyQDKQAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAAM7}} @article{Bre2004, Author = {Bressloff, P. 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Math.}, Number = {5}, Pages = {1668-1690}, Title = {Euclidean Shift-Twist Symmetry in Population Models of Self-Aligning Objects}, Volume = {64}, Year = {2004}, Bdsk-File-1 = {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}} @article{BreCowGol2001, Author = {Bressloff, P. 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J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Nonlinearity}, Month = {Jul.}, Number = {4}, Pages = {739-775}, Title = {Scalar and Pseudoscalar Bifurcations Motivated by Pattern Formation on the Visual Cortex}, Volume = {14}, Year = {2001}, Bdsk-File-1 = {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}} @article{BreCowGol20010, Author = {Bressloff, P. C. and Cowan, J. D. and Golubitsky, M. and Thomas, P. J. and Wiener, M. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phil. Trans. R. Soc. Lond. B}, Month = {Mar.}, Number = {1407}, Pages = {299-330}, Title = {Geometric Visual Hallucinations, {E}uclidean Symmetry and the Functional Architecture of Striate Cortex}, Volume = {356}, Year = {2001}, Bdsk-File-1 = {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}} @article{BroGolVeg2003, Author = {Broer, H. W. and Golubitsky, M. and Vegter, G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Nonlinearity}, Month = {Jul.}, Number = {4}, Pages = {1511-1538}, Title = {The Geometry of Resonance Tongues: A Singularity Theory Approach}, Volume = {16}, Year = {2003}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1Ccm9Hb2xWZWcyMDAzAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALb3qxsMf11BERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDZicAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAQnJvR29sVmVnMjAwMwAADgAcAA0AQgByAG8ARwBvAGwAVgBlAGcAMgAwADAAMwAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0Jyb0dvbFZlZzIwMDMAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9Ccm9Hb2xWZWcyMDAz0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{Bro1974, Author = {Broer, L. J.F}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Appl. Sci. Res.}, Pages = {430-446}, Title = {On the {H}amiltonian Theory of Surface Waves}, Volume = {29}, Year = {1974}} @article{BuhSumCou2006, Author = {Buhl, J. and Sumpter, D. J.T. and Couzin, I. D. and Hale, J. J. and Despland, E. and Miller, E. R. and Simpson, S. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Science}, Month = {Jun.}, Pages = {1402-1406}, Title = {From Disorder to Order in Marching Locusts}, Volume = {312}, Year = {2006}, Bdsk-File-1 = {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}} @article{BurSte2001, Author = {Burghelea, T. and Steinberg, V.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Mar.}, Number = {12}, Pages = {2557-2560}, Title = {Onset of Wave Drag Due to Generation of Capillarity-Gravity Waves by a Moving Object as a Critical Phenomenon}, Volume = {86}, Year = {2001}, Bdsk-File-1 = {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}} @article{BusHei1980, Author = {Busse, F. H. and Heikes, K. E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Science}, Month = {Apr.}, Pages = {173-175}, Title = {Convection in a Rotating Layer: {A} Simple Case of Turbulence}, Volume = {208}, Year = {1980}, Bdsk-File-1 = {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}} @incollection{BusPfiSch1998, Author = {Busse, F. H. and Pfister, G. and Schwabe, D.}, Booktitle = {Evolution of Spontaneous Structures in Dissipative Continuous Systems}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Editor = {Busse, F. and M{\"{u}}ller, S. C.}, Month = {Jul.}, Pages = {86-126}, Publisher = {Springer}, Series = {Lecture Notes in Physics}, Title = {Formation of Dynamical Structures in Axisymmetric Fluid Systems}, Year = {1998}, Bdsk-File-1 = {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}} @article{But1989, Author = {Buttke, T. F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Fluids A}, Number = {7}, Pages = {1283-1285}, Title = {The Observation of Singularities in the Boundary of Patches of Constant Vorticity}, Volume = {1}, Year = {1989}, Bdsk-File-1 = {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}} @article{Cah1968, Author = {Cahn, J. W.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Trans. Metall. Soc. of AIME}, Pages = {166-180}, Title = {Spinodal Decomposition}, Volume = {242}, Year = {1968}} @book{CamDenFra2001, Address = {Princeton, NJ}, Author = {Camazine, S. and Deneubourg, J. L. and Franks, N. R. and Sneyd, J. and Theraulaz, G. and Bonabeau, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Publisher = {Princeton University Press}, Series = {Princeton Studies in Complexity}, Title = {Self-Organization in Biological Systems}, Year = {2001}} @article{Cap1987, Author = {Cappuccino, N.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Ecology}, Month = {Dec.}, Number = {6}, Pages = {1634-1646}, Title = {Comparative Population Dynamics of 2 Goldenrod Aphids: Spatial Patterns and Temporal Constancy}, Volume = {68}, Year = {1987}, Bdsk-File-1 = {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}} @article{CasDulBoi1990, Author = {Castets, V. and Dulos, E. and Boissonade, J. and DeKepper, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jun.}, Number = {24}, Pages = {2953-2956}, Title = {Experimental Evidence of a Sustained Standing {T}uring-Type Nonequilibrium Chemical Pattern}, Volume = {64}, Year = {1990}, Bdsk-File-1 = {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}} @article{CerTir1997, Author = {Cerda, E. and Tirapegui, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Feb.}, Number = {5}, Pages = {859-862}, Title = {{F}araday's Instability for Viscous Fluids}, Volume = {78}, Year = {1997}, Bdsk-File-1 = {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}} @article{Che1994, Author = {Chemin, J. Y.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Ann. Sci. Ec. Norm. Sup.}, Number = {4}, Pages = {517-542}, Title = {Persistency of Geometric Structures in Bidimensional Incompressible Fluids}, Volume = {26}, Year = {1994}} @article{CheMoiWan2000, Author = {Chen, G. and Moiola, J. L. and Wang, H. O.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Int. J. Bifurcat. Chaos}, Month = {Mar.}, Number = {3}, Pages = {511-548}, Title = {Bifurcation Control: Theories, Methods, and Applications}, Volume = {10}, Year = {2000}, Bdsk-File-1 = {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}} @article{CheVin1999, Author = {Chen, P. and Vi{\~{n}}als, J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. E}, Month = {Jul.}, Number = {1}, Pages = {559-570}, Title = {Amplitude Equation and Pattern Selection in {F}araday Waves}, Volume = {60}, Year = {1999}, Bdsk-File-1 = {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}} @article{CheWu2000, Author = {Chen, P. and Wu, K. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Oct.}, Number = {18}, Pages = {3813-33816}, Title = {Subcritical Bifurcations and Nonlinear Balloons in {F}araday Waves}, Volume = {85}, Year = {2000}, Bdsk-File-1 = {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}} @article{Cho2001, Author = {Chossat, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Dynam. Cont. Dis. Ser. A}, Month = {Dec.}, Number = {4}, Pages = {575-590}, Title = {The Bifurcation of Heteroclinic Cycles in Systems of Hydrodynamical Type}, Volume = {8}, Year = {2001}} @article{Cho1994, Author = {Choudhury, S. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {SIAM J. Appl. Math.}, Number = {5}, Pages = {1425-1450}, Title = {Turing instability in competition models with delay. {I}. {L}inear theory}, Volume = {54}, Year = {1994}, Bdsk-File-1 = {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}} @article{Cho19940, Author = {Choudhury, S. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {SIAM J. Appl. Math.}, Number = {5}, Pages = {1451-1467}, Title = {Analysis of spatial structure in a predator-prey model with delay. {II}. {N}onlinear theory}, Volume = {54}, Year = {1994}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAeQAAAAAAeQAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LughDaG8xOTk0MAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbRDxsMhzVBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDaB0AAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBoTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAQ2hvMTk5NDAADgASAAgAQwBoAG8AMQA5ADkANAAwAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAUlVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvQ2hvMTk5NDAAEwABLwAAFQACAAv//wAAgAXSHB0eH1gkY2xhc3Nlc1okY2xhc3NuYW1lox8gIV1OU011dGFibGVEYXRhVk5TRGF0YVhOU09iamVjdF8QSi4uL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0NobzE5OTQw0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAogCigKPApgCowKnArUCvALFAxIDFwMaAycDLAAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAAM+}} @article{ChrAlsLev1992, Author = {Christiansen, B. and Alstrom, P. and Levinsen, M. T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Apr.}, Number = {14}, Pages = {2157-2160}, Title = {Ordered Capillary-Wave States: {Q}uasicrystals, Hexagons, and Radial Waves}, Volume = {68}, Year = {1992}, Bdsk-File-1 = {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}} @article{ChuDOrMar2007, Author = {Chuang, Y. L. and D'Orsogna, M. R. and Marthaler, D. and Bertozzi, A. L. and Chayes, L. S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2010-08-04 09:01:23 -0500}, Journal = {Physica D}, Month = {Aug.}, Number = {1}, Pages = {33-47}, Title = {State Transitions and the Continuum Limit for a 2{D} Interacting, Self-Propelled Particle System}, Volume = {232}, Year = {2007}, Bdsk-File-1 = {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}} @article{CleHarQui2001, Author = {Clemons, C. B. and Hariharan, S. I. and Quinn, D. D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {SIAM J. Appl. Math.}, Number = {2}, Pages = {684-705}, Title = {Amplitude Equations for Time-Dependent Solutions of the {M}c{K}endrick Equations}, Volume = {62}, Year = {2001}, Bdsk-File-1 = {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}} @article{ColDesSim1998, Author = {Collett, M. and Despland, E. and Simpson, S. J. and Krakauer, D. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Proc. Natl. Acad. Sci.}, Month = {Oct.}, Number = {22}, Pages = {13052-13055}, Title = {Spatial Scales of Desert Locust Gregarization}, Volume = {95}, Year = {1998}, Bdsk-File-1 = {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}} @incollection{CooMarTop2003, Author = {Cook, B. and Marthaler, D. and Topaz, C. M. and Bertozzi, A. L. and Kemp, M.}, Booktitle = {Multi-Robot Systems: From Swarms to Intelligent Automata}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Editor = {Schultz, A. C. and Parker, L. E. and Schneider, F. E.}, Pages = {77-86}, Publisher = {Kluwer Academic Publishers}, Title = {Fractional Bandwidth Reacquisition Algorithms for {VSW}-{MCM}}, Volume = {2}, Year = {2003}} @article{CouKraJam2002, Author = {Couzin, I. D. and Krause, J. and James, R. and Ruxton, G. D. and Franks, N. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {J. Theor. 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D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Rev. Mod. 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D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jul.}, Number = {4}, Pages = {441-444}, Title = {Surface Waves in Nonsquare Containers with Square Symmetry}, Volume = {67}, Year = {1991}, Bdsk-File-1 = {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}} @article{Cra19911, Author = {Crawford, J. D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Physica D}, Month = {Sep.}, Number = {2-3}, Pages = {429-457}, Title = {Normal Forms for Driven Surface Waves: Boundary Conditions, Symmetry, and Genericity}, Volume = {52}, Year = {1991}, Bdsk-File-1 = {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}} @article{CraKnoRie1990, Author = {Crawford, J. D. and Knobloch, E. and Riecke, H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Physica D}, Month = {Sep.}, Number = {3}, Pages = {340-396}, Title = {Period-doubling Mode Interactions with Circular Symmetry}, Volume = {44}, Year = {1990}, Bdsk-File-1 = {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}} @article{CraGolLan1993, Author = {Crawford, J. D. and Gollub, J. P. and Lane, D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Nonlinearity}, Month = {Mar.}, Number = {2}, Pages = {119-164}, Title = {Hidden Symmetries of Parametrically Forced Waves}, Volume = {6}, Year = {1993}, Bdsk-File-1 = {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}} @article{CraKno1991, Author = {Crawford, J. D. and Knobloch, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Ann. Rev. 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C. and Hohenberg, P. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Rev. Mod. Phys.}, Month = {Jul.}, Number = {3}, Pages = {851-1112}, Title = {Pattern Formation Outside of Equilibrium}, Volume = {65}, Year = {1993}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAewAAAAAAewAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugpDcm9Ib2gxOTkzAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALd4hxsMnf1BERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDbc8AAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBqTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAQ3JvSG9oMTk5MwAOABYACgBDAHIAbwBIAG8AaAAxADkAOQAzAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAVFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvQ3JvSG9oMTk5MwATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBMLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvQ3JvSG9oMTk5M9IcHSQloiUhXE5TRGljdGlvbmFyeRIAAYagXxAPTlNLZXllZEFyY2hpdmVyAAgAEQAWAB8AKAAyADUAOgA8AEUASwBSAF0AZQBsAG8AcQBzAHYAeAB6AHwAhgCTAJgAoAKQApIClwKgAqsCrwK9AsQCzQMcAyEDJAMxAzYAAAAAAAACAQAAAAAAAAAoAAAAAAAAAAAAAAAAAAADSA==}} @article{CziBenCoh1996, Author = {Czir{\'{o}}k, A. and Ben-Jacob, E. and Cohen, I. and Vicsek, T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. 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E}, Month = {Aug.}, Number = {2}, Pages = {1791-1801}, Title = {Formation of Complex Bacterial Colonies Via Self-Generated Vortices}, Volume = {54}, Year = {1996}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1DemlCZW5Db2gxOTk2AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbpSxsMh0FBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDaCAAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAQ3ppQmVuQ29oMTk5NgAADgAcAA0AQwB6AGkAQgBlAG4AQwBvAGgAMQA5ADkANgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0N6aUJlbkNvaDE5OTYAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9DemlCZW5Db2gxOTk20hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{DOrChuBer2006, Author = {D'Orsogna, M. R. and Chuang, Y. L. and Bertozzi, A. L. and Chayes, L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Mar.}, Pages = {104302.1-104302.4}, Title = {Self-Propelled Particles with Soft-Core Interactions: Patterns, Stability, and Collapse}, Volume = {96}, Year = {2006}, Bdsk-File-1 = {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}} @incollection{DanKra1998, Author = {Dangelmayr, G. and Kramer, L.}, Booktitle = {Evolution of Spontaneous Structures in Dissipative Continuous Systems}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Editor = {Busse, F. and M{\"{u}}ller, S. C.}, Month = {Jul.}, Pages = {1-85}, Publisher = {Springer}, Series = {Lecture Notes in Physics}, Title = {Mathematical Tools for Pattern Formation}, Year = {1998}, Bdsk-File-1 = {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}} @article{DanHoSke2003, Author = {Daniels, P. G. and Ho, D. and Skeldon, A. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Physica D}, Month = {Apr.}, Number = {1-2}, Pages = {83-102}, Title = {Solutions for Nonlinear Convection in the Presence of a Lateral Boundary}, Volume = {78}, Year = {2003}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfQAAAAAAfQAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugxEYW5Ib1NrZTIwMDMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbxgxsMoWFBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDbqgAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBsTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoARGFuSG9Ta2UyMDAzAA4AGgAMAEQAYQBuAEgAbwBTAGsAZQAyADAAMAAzAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAVlVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvRGFuSG9Ta2UyMDAzABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE4uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9EYW5Ib1NrZTIwMDPSHB0kJaIlIVxOU0RpY3Rpb25hcnkSAAGGoF8QD05TS2V5ZWRBcmNoaXZlcgAIABEAFgAfACgAMgA1ADoAPABFAEsAUgBdAGUAbABvAHEAcwB2AHgAegB8AIYAkwCYAKACmAKaAp8CqAKzArcCxQLMAtUDJgMrAy4DOwNAAAAAAAAAAgEAAAAAAAAAKAAAAAAAAAAAAAAAAAAAA1I=}} @unpublished{DawMatRuc2001, Author = {Dawes, J. H.P. and Matthews, P. C. and Rucklidge, A. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Note = {Preprint}, Title = {Reducible Actions of {D}4 x {T}2: Superlattice Patterns and Hidden Symmetries}, Year = {2001}, Bdsk-File-1 = {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}} @book{DayAbb2001, Address = {Cambridge, MA}, Author = {Dayan, P. and Abbot, L. F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Publisher = {M. I.T. Press}, Title = {Theoretical Neuroscience}, Year = {2001}, Bdsk-File-1 = {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}} @article{De-LimDew1996, Author = {De Wit, A. and Lima, D. and Dewel, G. and Borckmans, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. E}, Month = {Jul.}, Number = {1}, Pages = {261-271}, Title = {Spatiotemporal Dynamics Near a Codimension-Two Point}, Volume = {54}, Year = {1996}, Bdsk-File-1 = {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}} @article{Dim2000, Author = {Dimant, Y. S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jan.}, Number = {4}, Pages = {622-625}, Title = {Nonlinearly Saturated Dynamical State of a Three-Wave Mode-Coupled Dissipative Systems with Linear Instability}, Volume = {84}, Year = {2000}, Bdsk-File-1 = {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}} @article{DioGol1992, Author = {Dionne, B. and Golubitsky, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Z. Angew. Math. Phys.}, Month = {Jan.}, Number = {1}, Pages = {36-62}, Title = {Planforms in Two and Three Dimensions}, Volume = {43}, Year = {1992}, Bdsk-File-1 = {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}} @article{DioGolSil1995, Author = {Dionne, B. and Golubitsky, M. and Silber, M. and Stewart, I.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phil. Trans. R. Soc. Lon. A}, Month = {Jul.}, Number = {1698}, Pages = {125-168}, Title = {Time-Periodic Spatially Periodic Planforms in {E}uclidean Equivariant Partial Differential Equations}, Volume = {352}, Year = {1995}, Bdsk-File-1 = {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}} @article{DioSilSke1997, Author = {Dionne, B. and Silber, M. and Skeldon, A. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Nonlinearity}, Month = {Mar.}, Number = {2}, Pages = {321-353}, Title = {Stability Results for Steady, Spatially-Periodic Planforms}, Volume = {10}, Year = {1997}, Bdsk-File-1 = {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}} @article{DitLilSou2000, Author = {Dittrich, P. and Liljeros, F. and Soulier, A. and Banzhaf, W.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. 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Lett.}, Month = {Apr.}, Number = {14}, Pages = {3205-3208}, Title = {Spontaneous Group Formation in the Seceder Model}, Volume = {84}, Year = {2000}, Bdsk-File-1 = {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}} @article{DolBerZha2001, Author = {Dolnik, M. and Berenstein, I. and Zhabotinsky, A. M. and Epstein, I. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Dec.}, Number = {23}, Pages = {238301.1-238301.4}, Title = {Spatial Periodic Forcing of {T}uring Structures}, Volume = {87}, Year = {2001}, Bdsk-File-1 = {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}} @article{DolZhaEps2001, Author = {Dolnik, M. and Zhabotinsky, A. 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S. Environmental Protection Agency, Office of Pesticide Programs}, Note = {Available at http://www.epa.gov/oppbead1/pestsales/index.htm}, Series = {Pesticide Industry Sales and Usage}, Title = {1998-1999 Market Estimates}, Year = {2002}, Bdsk-File-1 = {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}} @book{DraRei1981, Address = {Cambridge, UK}, Author = {Drazin, P. G. and Reid, W. H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Cambridge University Press}, Series = {Monographs on Mechanics and Applied Mathematics}, Title = {Hydrodynamic Stability}, Year = {1981}} @article{DreJoePas2002, Author = {Dressel, B. and Joets, A. and Pastur, L. and Pesch, W. and Plaut, E. and Ribotta, R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jan.}, Number = {2}, Pages = {024503.1-024503.4}, Title = {Competition of Periodic and Homogeneous Modes in Extended Dynamical Systems}, Volume = {88}, Year = {2002}, Bdsk-File-1 = {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}} @article{Dri1989, Author = {Dritschel, D. G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Comp. Phys. Rep.}, Pages = {77-146}, Title = {Contour Dynamics and Contour Surgery: Numerical Algorithms for Extended, High-Resolution Modeling of Vortex Dynamics in Two-Dimensional, Inviscid, Incompressible Fows}, Volume = {10}, Year = {1989}} @article{Dri1993, Author = {Dritschel, D. G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Fluids}, Month = {Jan.}, Number = {1}, Pages = {173-186}, Title = {A Fast Contour Dynamics Method for Many-Vortex Calculations in Two-Dimensional Flows}, Volume = {5}, Year = {1993}} @article{DruGriHen1992, Author = {van Druten, H. and van Griensven, Frits and Hendriks, J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {J. Sex Research}, Month = {Nov.}, Number = {4}, Pages = {477-599}, Title = {Homosexual Role Separation: Implications for Analyzing and Modeling the Spread of HIV}, Volume = {29}, Year = {1992}, Bdsk-File-1 = 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@article{EbeErd2003, Author = {Ebeling, W. and Erdmann, U.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Complexity}, Month = {Mar.}, Number = {4}, Pages = {23-30}, Title = {Nonequilibrium Statistical Mechanics of Swarms of Driven Particles}, Volume = {8}, Year = {2003}, Bdsk-File-1 = 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@article{EchRie2001, Author = {Echebarria, B. and Riecke, H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Oct.}, Number = {1-4}, Pages = {45-68}, Title = {Sideband Instabilities and Defects of Quasipatterns}, Volume = {158}, Year = {2001}, Bdsk-File-1 = 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@inproceedings{Ede2001, Author = {Edelstein-Keshet, L.}, Booktitle = {Proceedings of the 2001 International Symposium on Nonlinear Theory and its Applications}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Pages = {1-7}, Title = {Mathematical Models of Swarming and Social Aggregation}, Year = {2001}, Bdsk-File-1 = 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@article{EdeWatGru1998, Author = {Edelstein-Keshet, L. and Watmough, J. and Gr{\"{u}}nbaum, D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Math. Bio.}, Month = {Jun.}, Number = {6}, Pages = {515-549}, Title = {Do Travelling Band Solutions Describe Cohesive Swarms? {A}n Investigation for Migratory Locusts}, Volume = {36}, Year = {1998}, Bdsk-File-1 = {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}} @article{EdwFau1992, Author = {Edwards, W. S. and Fauve, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {C. R. Acad. Sci.II}, Month = {Aug.}, Number = {4}, Pages = {417-420}, Title = {Parametrically Generated Quasi-Crystalline Patterns}, Volume = {315}, Year = {1992}} @article{EdwFau1993, Author = {Edwards, W. S. and Fauve, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Feb.}, Number = {2}, Pages = {R788-R791}, Title = {Parametrically Excited Quasicrystalline Surface Waves}, Volume = {47}, Year = {1993}, Bdsk-File-1 = {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}, Bdsk-File-2 = {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}} @article{EdwFau1994, Author = {Edwards, W. S. and Fauve, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Fluid Mech.}, Month = {Nov.}, Pages = {123-148}, Title = {Patterns and Quasi-Patterns in the {F}araday Experiment}, Volume = {278}, Year = {1994}} @article{EftVriLew20070, Author = {Eftimie, R. and de Vries, G. and Lewis, M. A. and Lutscher, F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-11-12 15:52:11 -0600}, Journal = {Bull. Math. 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A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Science}, Month = {Jan.}, Pages = {101-104}, Title = {Equilibrium Regained: {F}rom Nonequilibrium Chaos to Statistical Mechanics}, Volume = {287}, Year = {2000}, Bdsk-File-1 = {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}} @article{EgoMelPes2000, Author = {Egolf, D. A. and Melnikov, I. V. and Pesch, W. and Ecke, R. E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Nature}, Month = {Apr.}, Number = {6779}, Pages = {733-736}, Title = {Mechanisms of Extensive Spatiotemporal Chaos in {R}ayleigh-{B}{\'{e}}nard Convection}, Volume = {404}, Year = {2000}, Bdsk-File-1 = {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}} @article{EguOspCho2000, Author = {Egu\'{i}luz, V. M. and Ospeck, M. and Choe, Y. and Hudspeth, A. J. and Magnasco, M. O.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Pages = {5232-5235}, Title = {Essential Nonlinearities in Hearing}, Volume = {84}, Year = {2000}} @article{EguHerPir2001, Author = {Egu{\'{i}}luz, V. M. and Hern{\'{a}}ndez-Garc{\'{i}}a, E. and Piro, O.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Sep.}, Pages = {036205.1-036205.10}, Title = {Complex {G}inzburg-{L}andau Equation in the Presence of Walls and Corners}, Volume = {64}, Year = {2001}, Bdsk-File-1 = {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}} @article{EilFurGri1989, Author = {Eilbeck, J. C. and Furter, J. E. and Grinfeld, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Lett. A}, Number = {4-5}, Pages = {272-275}, Title = {On a Stationary State Characterization of Transition From Spinodal Decomposition to Nucleation Behaviour in the {C}ahn-{H}illiard Model of Phase Separation}, Volume = {135}, Year = {1989}} @article{Ell1953, Author = {Ellis, P. E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Exp. Bio.}, Month = {May}, Number = {2}, Pages = {214-234}, Title = {The Gregarious Behavior of Marching \emph{{L}ocusta {M}igratoria {M}igratorioides} ({R} \& {F}.) 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Rev. E}, Month = {May}, Number = {5}, Pages = {5285-5291}, Title = {Multiphase patterns in periodically forced oscillatory systems}, Volume = {59}, Year = {1999}, Bdsk-File-1 = {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}} @book{EpsPoj1998, Address = {New York}, Author = {Epstein, I. R. and Pojman, J. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Oxford University Press}, Series = {Topics in Physical Chemistry}, Title = {An Introduction to Nonlinear Chemical Dynamics}, Year = {1998}} @article{EpsFin2004, Author = {Epstein, T. and Fineberg, J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jun.}, Number = {24}, Pages = {244502.1-244502.4}, Title = {Control of Spatiotemporal Disorder in Parametrically Excited Surface Waves}, Volume = {92}, Year = {2004}, Bdsk-File-1 = {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}} @article{ErdEbe2003, Author = {Erdmann, U. and Ebeling, W.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Fluct. 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S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Jun.}, Pages = {061106.1-061106.9}, Title = {Excitation of Rotational Modes in Two-Dimensional Systems of Driven {B}rownian Particles}, Volume = {65}, Year = {2002}, Bdsk-File-1 = {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}} @article{ErdEbeMik2005, Author = {Erdmann, U. and Ebeling, W. and Mikhailov, A. S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {May}, Pages = {051904.1-051904.7}, Title = {Noise-Induced Transition from Translational to Rotational Motion of Swarms}, Volume = {71}, Year = {2005}, Bdsk-File-1 = {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}} @article{ErmCow1979, Author = {Ermentrout, G. B. and Cowan, J. D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Biolog. Cyber.}, Number = {3}, Pages = {137-150}, Title = {Mathematical Theory of Visual Hallucination Patterns}, Volume = {34}, Year = {1979}} @article{Far1831, Author = {Faraday, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phil. Trans. R. Soc. Lond.}, Pages = {319-340}, Title = {On the Forms and States of Fluids on Vibrating Elastic Surfaces}, Volume = {121}, Year = {1831}, Bdsk-File-1 = {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}} @techreport{Fef2000, Author = {Fefferman, C. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Institution = {Clay Mathematics Institute}, Note = {Available at http://www.claymath.org/millennium/navier-stokes\_equations}, Series = {Millennium Problems}, Title = {Existence and Smoothness of the {N}avier-{S}tokes Equation}, Year = {2000}, Bdsk-File-1 = {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}} @article{FeuNeiPei2000, Author = {Feudel, U. and Neiman, A. and Pei, X. and Wojtenek, W. and Braun, H. and Huber, M. and Moss, F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Chaos}, Month = {Mar.}, Number = {1}, Pages = {231-239}, Title = {Homoclinic Bifurcation in a {H}odgkin-{H}uxley Model of Thermally Sensitive Neurons}, Volume = {10}, Year = {2000}, Bdsk-File-1 = {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}} @article{FieNoy1974, Author = {Field, R. J. and Noyes, R. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Chem. Phys.}, Month = {Mar.}, Number = {5}, Pages = {1877-1884}, Title = {Oscillations in Chemical Systems: 4. {L}imit Cycle Behavior in a Model of a Real Chemical Reaction}, Volume = {60}, Year = {1974}} @article{FliGruLev1999, Author = {Flierl, G. and Gr{\"{u}}nbaum, D. and Levin, S. and Olson, D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Theor. 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A. and Kuperman, M. N. and Kenkre, V. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Non-Local Interaction Effects on Pattern Formation in Population Dynamics}, Year = {2003}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1GdWVLdXBLZW4yMDAzAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbpyxsMpHVBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDb20AAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoARnVlS3VwS2VuMjAwMwAADgAcAA0ARgB1AGUASwB1AHAASwBlAG4AMgAwADAAMwAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0Z1ZUt1cEtlbjIwMDMAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9GdWVLdXBLZW4yMDAz0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{GalWay2002, Author = {Gallay, T. and Wayne, C. E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Arch. Ra. Mech. An.}, Month = {Jun.}, Number = {3}, Pages = {209-258}, Title = {Invariant Manifolds and the Long-Time Asymptotics of the {N}avier-{S}tokes and Vorticity Equations on {$\mathbb{R}^2$}}, Volume = {163}, Year = {2002}} @article{GarChi2001, Author = {Garnier, N. and Chiffaudel, A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jan.}, Number = {1}, Pages = {75-78}, Title = {Nonlinear Transition to a Global Mode for Traveling-Wave Instability in a Finite Box}, Volume = {86}, Year = {2001}, Bdsk-File-1 = {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}} @inproceedings{GazPas2002, Address = {LasVegas, NV}, Author = {Gazi, V. and Passino, K. M.}, Booktitle = {Proceedings of the 41st Conference on Decision and Control}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Month = {Dec.}, Organization = {IEEE}, Pages = {2842-2847}, Title = {A Class of Attraction/Repulsion Functions for Stable Swarm Aggregations}, Volume = {3}, Year = {2002}, Bdsk-File-1 = {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}} @article{GilPetRes2002, Author = {Gil, L. and Petrossian, A. and Residori, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Jun.}, Number = {1-2}, Pages = {1-16}, Title = {Three-Wave Interaction in Dissipative Systems: A New Way Towards Secondary Instabilities}, Volume = {166}, Year = {2002}, Bdsk-File-1 = {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}} @article{GlaWit2003, Author = {Glasner, K. B. and Witelski, T. P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Jan.}, Pages = {016302.1-016302.12}, Title = {Coarsening Dynamics of Dewetting Films}, Volume = {67}, Year = {2003}, Bdsk-File-1 = {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}} @book{Gle1994, Address = {Cambridge}, Author = {Glendinning, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Cambridge University Press}, Series = {Cambridge Texts in Applied Mathematics}, Title = {Stability, Instability and Chaos: An introduction to the Theory of Nonlinear Differential Equations}, Year = {1994}, Bdsk-File-1 = {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}} @article{GolLan1999, Author = {Gollub, J. P. and Langer, J. S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Rev. Mod. Phys.}, Month = {Mar.}, Number = {2}, Pages = {S396-S403}, Title = {Pattern Formation in Nonequilibrium Physics}, Volume = {71}, Year = {1999}, Bdsk-File-1 = {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}} @article{GolNepDav2001, Author = {Golovin, A. A. and Nepomnyashchy, A. A. and Davis, S. H. and Zaks, M. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Feb.}, Number = {8}, Pages = {1550-1553}, Title = {Convective {C}ahn-{H}illiard Models: From Coarsening to Roughening}, Volume = {86}, Year = {2001}, Bdsk-File-1 = {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}} @incollection{GolShaPos2009, Author = {Golubitsky, M. and Shiau, L. and Postlethwaite, C. and Zhang, Y.}, Booktitle = {Coherent Behavior in Neuronal Networks}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2010-01-29 14:01:02 -0600}, Editor = {Josic, K. and Rubin, J. and Mat\'{i}as, M. and Romo, R.}, Publisher = {Springer}, Series = {Spinger Series in Computatuonal Neuroscience}, Title = {The Feed-Forward Chain as a Filter-Amplifier Motif}, Volume = {3}, Year = {2009}, Bdsk-File-1 = {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}} @book{GolSteSch1988, Address = {New York}, Author = {Golubitsky, M. and Stewart, I. and Schaeffer, D. G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-12-28 21:00:54 -0600}, Number = {69}, Publisher = {Springer-Verlag}, Series = {Appl. Math. Sci. Ser.}, Title = {Singularities and Groups in Bifurcation Theory: Vol. II}, Year = {1988}} @article{GolSwiKno1984, Author = {Golubitsky, M. and Swift, J. W. and Knobloch, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Number = {3}, Pages = {249-276}, Title = {Symmetries and Pattern Selection in {R}ayleigh-{B}{\'{e}}nard Convection}, Volume = {10}, Year = {1984}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1Hb2xTd2lLbm8xOTg0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALcZpxsMptVBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDcAUAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAR29sU3dpS25vMTk4NAAADgAcAA0ARwBvAGwAUwB3AGkASwBuAG8AMQA5ADgANAAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0dvbFN3aUtubzE5ODQAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9Hb2xTd2lLbm8xOTg00hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{GreCha2004, Author = {Gr{\'{e}}goire, G. and Chat{\'{e}}, H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. 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E}, Month = {Jul.}, Number = {1}, Pages = {011902.1-011902.7}, Title = {Active and Passive Particles: Modeling Beads in a Bacterial Bath}, Volume = {64}, Year = {2001}, Bdsk-File-1 = {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}} @article{GreChaTu2003, Author = {Gr{\'{e}}goire, G. and Chat{\'{e}}, H. and Tu, Y.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Jul.}, Number = {3-4}, Pages = {157-170}, Title = {Moving and Staying Together Without a Leader}, Volume = {181}, Year = {2003}, Bdsk-File-1 = {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}} @incollection{GruOku1994, Author = {Gr{\"{u}}nbaum, D. and Okubo, A.}, Booktitle = {Frontiers in Mathematical Biology}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Editor = {Levin, S. A.}, Pages = {296-325}, Publisher = {Springer-Verlag}, Series = {Lecture Notes in Biomathematics}, Title = {Modelling Social Animal Aggregations}, Volume = {100}, Year = {1994}, Bdsk-File-1 = {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}} @book{Gri1992, Address = {New York}, Author = {Grindrod, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Oxford University Press}, Series = {Oxford Applied Mathematics and Computing Science Series}, Title = {Patterns and Waves: The Theory and Applications of Reaction-Diffusion Equations}, Year = {1992}} @book{GucHol1983, Address = {New York}, Author = {Guckenheimer, J. and Holmes, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Springer-Verlag}, Series = {Applied Mathematical Sciences}, Title = {Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields}, Volume = {42}, Year = {1983}} @article{GucHol1988, Author = {Guckenheimer, J. and Holmes, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Math Proc. 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Soc.}, Number = {1}, Pages = {189-192}, Title = {Structurally Stable Heteroclinic Cycles}, Volume = {103}, Year = {1988}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfwAAAAAAfwAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug5HdWNIb2wxOTg4LnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALXcFwiXLQ1RFWFQqVEVYAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMImEZMAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBuTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAR3VjSG9sMTk4OC5wZGYADgAeAA4ARwB1AGMASABvAGwAMQA5ADgAOAAuAHAAZABmAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAWFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvR3VjSG9sMTk4OC5wZGYAEwABLwAAFQACAAv//wAAgAXSHB0eH1gkY2xhc3Nlc1okY2xhc3NuYW1lox8gIV1OU011dGFibGVEYXRhVk5TRGF0YVhOU09iamVjdF8QUC4uL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0d1Y0hvbDE5ODgucGRm0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAqACogKnArACuwK/As0C1ALdAzADNQM4A0UDSgAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANc}} @article{Gun1993, Author = {Gunaratne, G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. 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Lett.}, Month = {Mar.}, Number = {9}, Pages = {1367-1370}, Title = {Complex Spatial Patterns on Planar Continua}, Volume = {71}, Year = {1993}, Bdsk-File-1 = {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}} @article{GunOuySwi1994, Author = {Gunaratne, G. H. and Ouyang, Q. and Swinney, H. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2010-01-29 20:35:03 -0600}, Journal = {Phys. Rev. E}, Number = {4}, Pages = {2802-2820}, Title = {Pattern Formation in the Presence of Symmetries}, Volume = {50}, Year = {1994}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1HdW5PdXlTd2kxOTk0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALc0BxsMpo1BERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDb/MAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAR3VuT3V5U3dpMTk5NAAADgAcAA0ARwB1AG4ATwB1AHkAUwB3AGkAMQA5ADkANAAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0d1bk91eVN3aTE5OTQAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9HdW5PdXlTd2kxOTk00hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @book{Hab1998, Address = {New Jersey}, Author = {Haberman, R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Edition = {Third}, Publisher = {Prentice Hall}, Title = {Elementary Applied Partial Differential Equations}, Year = {1998}} @article{HamHen1993, Author = {Hammack, J. L. and Henderson, D. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Ann. Rev. Fluid Mech.}, Pages = {55-97}, Title = {Resonant Triad Interactions Among Surface Water Waves}, Volume = {25}, Year = {1993}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAewAAAAAAewAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugpIYW1IZW4xOTkzAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALcpZxsMp01BERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDcCMAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBqTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoASGFtSGVuMTk5MwAOABYACgBIAGEAbQBIAGUAbgAxADkAOQAzAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAVFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvSGFtSGVuMTk5MwATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBMLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvSGFtSGVuMTk5M9IcHSQloiUhXE5TRGljdGlvbmFyeRIAAYagXxAPTlNLZXllZEFyY2hpdmVyAAgAEQAWAB8AKAAyADUAOgA8AEUASwBSAF0AZQBsAG8AcQBzAHYAeAB6AHwAhgCTAJgAoAKQApIClwKgAqsCrwK9AsQCzQMcAyEDJAMxAzYAAAAAAAACAQAAAAAAAAAoAAAAAAAAAAAAAAAAAAADSA==}} @article{HarMerSha2001, Author = {von Hardenberg, J. and Meron, E. and Shachak, M. and Zarmil, Y.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Nov.}, Number = {19}, Pages = {198101.1-198101.4}, Title = {Diversity of Vegetation Patterns and Desertification}, Volume = {87}, Year = {2001}, Bdsk-File-1 = {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}} @book{HarHar1994, Address = {Bolinas, CA}, Author = {Hargittai, I. and Hargittai, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Shelter Publications, Inc.}, Title = {Symmetry: A Unifying Concept}, Year = {1994}} @book{Har1982, Author = {Hartman, P.}, City = {Boston}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Birkhauser}, Title = {Ordinary Differential Equations}, Year = {1982}} @article{HeiBodPur1993, Author = {Heidemann, G. and Bode, M. and Purwins, H.G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Lett. A}, Month = {JUN 14}, Number = {3}, Pages = {225-230}, Title = {Fronts between {H}opf-type and {T}uring-type domains in a 2-component reaction-diffusion systems}, Volume = {177}, Year = {1993}, Bdsk-File-1 = {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}} @incollection{Hep1997, Address = {Cambridge, UK}, Author = {Heppner, F.}, Booktitle = {Animal Groups in Three Dimensions}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Editor = {Parrish, J. K. and Hamner, W. M.}, Pages = {68-89}, Publisher = {Cambridge University Press}, Title = {Three-Dimensional Structure and Dynamics of Bird Flocks}, Year = {1997}} @unpublished{HerLopNeu2002, Author = {Hern{\'{a}}ndez-Garc{\'{i}}a, E. and L{\'{o}}pez, C. and Neufeld, Z.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Spatial Patterns in Chemically and Biologically Reacting Flows}, Year = {2002}, Bdsk-File-1 = {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}} @article{Het2000, Author = {Hethcote, H. W.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {SIAM Review}, Month = {Dec.}, Number = {4}, Pages = {599-603}, Title = {The Mathematics of Infectious Diseases}, Volume = {42}, Year = {2000}, Bdsk-File-1 = {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}} @unpublished{HigRieSil2003, Author = {Higuera, M. and Riecke, H. and Silber, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Near-Resonant, Steady Mode Interaction: Periodic, Quasi-Periodic, and Localized Patterns}, Year = {2003}, Bdsk-File-1 = {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}} @unpublished{Hil2000, Author = {Hill, D. F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {The {F}araday Resonance of Interfacial Waves in Weakly Viscous Fluids}, Year = {2000}} @article{HivProGai2000, Author = {Hively, L. M. and Protopopescu, V. A. and Gailey, P. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Chaos}, Month = {Dec.}, Number = {4}, Pages = {864-875}, Title = {Timely Detection of Dynamical Change in Scalp {EEG} Signals}, Volume = {10}, Year = {2000}, Bdsk-File-1 = {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}} @book{Hol1995, Address = {New York}, Author = {Holmes, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Number = {20}, Publisher = {Springer-Verlag}, Series = {Texts in Appled Mathematics}, Title = {Introduction to Perturbation Methods}, Year = {1995}} @article{HorDolMun1999, Author = {Horv{\'{a}}th, A. K. and Dolnik, M. and Mu{\~{n}}uzuri, A. P. and Zhabotinsky, A. M. and Epstein, I. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Oct.}, Number = {15}, Pages = {2950-2952}, Title = {Control of {T}uring Structures by Periodic Illumination}, Volume = {83}, Year = {1999}, Bdsk-File-1 = {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}} @misc{HosDup2004, Author = {Hosoi, A. E. and Dupuy, B.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Howpublished = {http://web.mit.edu/$\sim$bdupuy/www/research/Fingerings.html}, Title = {{u}npublished work from the {H}atsopoulos Microfluidics Laboratory, {M}.{I}.{T}.}, Year = {2004}} @article{HosMim1989, Author = {Hosono, Y. and Mimura, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {SIAM J. Math. Anal.}, Pages = {845-869}, Title = {Localized Cluster Solutions of Nonlinear Degenerate Diffusion Equations Arising in Population Dynamics}, Volume = {20}, Year = {1989}} @article{HoyHerCol1999, Author = {Hoyuelos, M. and H{\'{e}}rnandez-Garc{\'{i}}a, E. and Collet, P. and Miguel, M. San}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Comput. Phys. Commun.}, Month = {Sep.-Oct.}, Pages = {414-419}, Title = {Defect-Freezing and Defect-Unbinding in the Vector Complex {G}inzburg-{L}andau Equation}, Volume = {122}, Year = {1999}, Bdsk-File-1 = {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}} @article{HuZhaCer2000, Author = {Hu, G. and Zhang, Y. and Cerdeira, H. A. and Chen, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Oct.}, Number = {16}, Pages = {3377-3380}, Title = {From Low-Dimensional Synchronous Chaos to High-Dimensional Desynchronous Spatiotemporal Chaos in Coupled Systems}, Volume = {85}, Year = {2000}, Bdsk-File-1 = {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}} @article{HueAld2004, Author = {Huepe, C. and Aldana, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev.Lett.}, Month = {Apr.}, Number = {16}, Pages = {168701.1-168701.4}, Title = {Intermittency and Clustering in a System of Self-Driven Particles}, Volume = {92}, Year = {2004}, Bdsk-File-1 = {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}} @article{Hug2003, Author = {Hughes, R. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Ann. Rev. Fluid Mech.}, Pages = {169-182}, Title = {The Flow of Human Crowds}, Volume = {35}, Year = {2003}, Bdsk-File-1 = {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}} @article{IftFliLop2003, Author = {Iftimie, D. and Fliho, M. C. Lopes and Lopes, H. J. Nussenzveig}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {May}, Number = {3-4}, Pages = {153-160}, Title = {On the Large-Time Behavior of Two-Dimensional Vortex Dynamics}, Volume = {179}, Year = {2003}, Bdsk-File-1 = {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}} @article{Ike1984, Author = {Ikeda, T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Proc. Jap. Acad. A}, Pages = {46-48}, Title = {Stationary Solutions of a Spatially Aggregating Population Model}, Volume = {60}, Year = {1984}} @article{Ike1985, Author = {Ikeda, T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Jap. J. Appl. Math.}, Pages = {111-149}, Title = {Standing Pulse-Like Solutions of a Spatially Aggregating Population Model}, Volume = {2}, Year = {1985}, Bdsk-File-1 = {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}} @article{IkeNag1987, Author = {Ikeda, T. and Nagai, T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Jap. J. Appl. Math.}, Pages = {73-97}, Title = {Stability of Localized Stationary Solutions}, Volume = {4}, Year = {1987}, Bdsk-File-1 = {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}} @article{IrvKir1950, Author = {Irving, J. H. and Kirkwood, J. G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Chem. Phys.}, Pages = {817-829}, Subtitle = {IV. The Equations of Hydrodynamics.}, Title = {The Statistical Mechanical Theory of Transport Processes}, Volume = {18}, Year = {1950}} @article{IwaBra1998, Author = {Iwanski, J. S. and Bradley, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Chaos}, Month = {Dec.}, Number = {4}, Pages = {861-871}, Title = {Recurrence Plots of Experimental Data: To Embed or Not To Embed?}, Volume = {8}, Year = {1998}, Bdsk-File-1 = {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}} @article{JiLi2004, Author = {Ji, L. and Li, Q. S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Chem. Phys. Lett.}, Month = {Dec.}, Number = {1-3}, Pages = {176-180}, Title = {Effect of Local Feedback on {T}uring Pattern Formation}, Volume = {391}, Year = {2004}, Bdsk-File-1 = {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}} @article{JiLi20040, Author = {Ji, L. and Li, Q. S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Lett. 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C. and Armbruster, D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Jul.}, Pages = {016213.1-016213.12}, Title = {Localized Solutions in Parametrically Driven Pattern Formation}, Volume = {68}, Year = {2003}, Bdsk-File-1 = {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}} @techreport{Jof1997, Author = {Joffe, S. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Institution = {United Nations Food and Agriculture Organization}, Number = {AGP/DL/TS/27}, Title = {Economic and Policy Issues in Desert Locust Management: A Preliminary Analysis}, Type = {Desert Locust Technical Series}, Year = {1997}} @book{JorSmi1999, Address = {Oxford}, Author = {Jordan, D. W. and Smith, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Oxford University Press}, Series = {Oxford Applied and Engineering Mathematics}, Title = {Nonlinear Ordinary Differential Equations}, Year = {1999}} @article{JudSil2000, Author = {Judd, S. L. and Silber, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Feb.}, Number = {1-2}, Pages = {45-65}, Title = {Simple and Superlattice {T}uring Patterns in Reaction-Diffusion Systems: {B}ifurcation, Stability, and Parameter Collapse}, Volume = {136}, Year = {2000}, Bdsk-File-1 = {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}} @article{JusBosBos2001, Author = {Just, W. and Bose, M. and Bose, S. and Engel, H. and Sch{\"{o}}ll, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Aug.}, Number = {2}, Pages = {026219.1-026219.12}, Title = {Spatiotemporal Dynamics Near a Supercritical {T}uring-{H}opf Bifurcation in a Two-Dimensional Reaction-Diffusion System}, Volume = {64}, Year = {2001}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1KdXNCb3NCb3MyMDAxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbLixsMp+FBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDcEgAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoASnVzQm9zQm9zMjAwMQAADgAcAA0ASgB1AHMAQgBvAHMAQgBvAHMAMgAwADAAMQAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0p1c0Jvc0JvczIwMDEAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9KdXNCb3NCb3MyMDAx0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{KarBhaRay2005, Author = {Kar, S. and Bhattacharjee, J. K. and Ray, D. S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Eur. Phys. J. B}, Month = {Jan.}, Number = {1}, Pages = {109-114}, Title = {A Model Reaction Diffusion System Under Spatial Perturbation}, Volume = {43}, Year = {2005}, Bdsk-File-1 = {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}} @unpublished{KatKan2002, Author = {Kataoka, N. and Kaneko, K.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Dynamical Networks in Function Dynamics}, Year = {2002}, Bdsk-File-1 = {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}} @article{Kaw1978, Author = {Kawasaki, K.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Math. Sci.}, Number = {183}, Pages = {47-52}, Title = {Diffusion and the Formation of Spatial Distributions}, Volume = {16}, Year = {1978}} @article{KawLeg2001, Author = {Kawczy{\'{n}}ski, A. L. and Legawiec, B.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Nov.}, Pages = {056202.1-056202.4}, Title = {Two-Dimensional Model of a Reaction-Diffusion System as a Typewriter}, Volume = {64}, Year = {2001}, Bdsk-File-1 = {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}} @article{KelSeg1970, Author = {Keller, E. F. and Segel, L. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Theor. Bio.}, Pages = {399-415}, Title = {Initiation of Slime Mold Aggregation Viewed as an Instability}, Volume = {26}, Year = {1970}} @article{KelSeg1971, Author = {Keller, E. F. and Segel, L. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Theor. Bio.}, Pages = {235-248}, Title = {Traveling Bands of Chemotactic Bacteria: A Theoretical Analysis}, Volume = {30}, Year = {1971}} @article{KelKloHer2003, Author = {Keller, M. J. and Klotman, M. E. and Herold, B. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Antimicrob. Chemother.}, Month = {May}, Number = {5}, Pages = {1099-1102}, Title = {Rigorous Pre-Clinical Evaluation of Topical Microbicides to Prevent Transmission of Human Immunodeficiency Virus}, Volume = {51}, Year = {2003}, Bdsk-File-1 = {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}} @article{Ken1951, Author = {Kennedy, J. S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Proc. Roy. Soc. Lond. B}, Month = {May}, Number = {1951}, Pages = {163-290}, Title = {The Migration of the Desert Locus (\emph{{S}chistocerca gregaria {F}orsk.})}, Volume = {235}, Year = {1951}, Bdsk-File-1 = {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}} @article{KerSto2003, Author = {Kern, A. and Stoop, R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Number = {12}, Pages = {128101}, Title = {Essential Role of Couplings Between Hearing Nonlinearities}, Volume = {91}, Year = {2003}} @article{KesWer2003, Author = {Kessler, M. A. and Werner, B. T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Science}, Month = {Jan.}, Pages = {380-383}, Title = {Self-Organization of Sorted Patterned Ground}, Volume = {299}, Year = {2003}, Bdsk-File-1 = {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}} @article{Kid1980, Author = {Kidachi, H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Prog. Theo. Phys.}, Number = {4}, Pages = {1152-1169}, Title = {On Mode Interactions in Reaction-Diffusion Equation with Nearly Degenerate Bifurcations}, Volume = {63}, Year = {1980}, Bdsk-File-1 = {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}} @article{KimLeeKah2002, Author = {Kim, J. and Lee, J. and Kahng, B.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. 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E}, Month = {Apr.}, Pages = {046208.1-046208.6}, Title = {Harmonic Forcing of an Extended Oscillatory System: Homogeneous and Periodic Solutions}, Volume = {65}, Year = {2002}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1LaW1MZWVLYWgyMDAyAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALaMyxsMqilBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDcNoAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAS2ltTGVlS2FoMjAwMgAADgAcAA0ASwBpAG0ATABlAGUASwBhAGgAMgAwADAAMgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL0tpbUxlZUthaDIwMDIAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9LaW1MZWVLYWgyMDAy0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{KirMarSil1996, Author = {Kirk, V. and Marsden, J. E. and Silber, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Dynam. Stabil. Syst.}, Month = {Dec.}, Number = {4}, Pages = {267-302}, Title = {Branches of Stable Three-Tori Using {H}amiltonian Methods in {H}opf Bifurcation on a Rhombic Lattice}, Volume = {11}, Year = {1996}} @article{Kla1999, Author = {Klausmeier, C. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Science}, Month = {Jun.}, Pages = {1826-1888}, Title = {Regular and Irregular Patterns in Semiarid Vegetation}, Volume = {284}, Year = {1999}, Bdsk-File-1 = {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}} @article{KoLeeLee2002, Author = {Ko, H. K. and Lee, J. and Lee, K. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {May}, Number = {5}, Pages = {056221.1-056225.5}, Title = {Subharmonic Bifurcations of Standing Wave Lattices in a Driven Ferrofluid System}, Volume = {65}, Year = {2002}, Bdsk-File-1 = {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}, Bdsk-File-2 = {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}} @article{KocMei1994, Author = {Koch, A. J. and Meinhardt, H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Rev. Mod. Phys.}, Month = {Oct.}, Number = {4}, Pages = {1481-1507}, Title = {Biological Pattern Formation: From Basic Mechanisms to Complex Structures}, Volume = {66}, Year = {1994}, Bdsk-File-1 = {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}} @article{KomErdSch2004, Author = {Komin, N. and Erdmann, U. and Schimansky-Geier, L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Fluct. Noise Lett.}, Month = {Mar.}, Number = {1}, Pages = {L151-L159}, Title = {Random Walk Theory Applied to {D}aphnia Motion}, Volume = {4}, Year = {2004}} @article{KorKur2001, Author = {Kori, H. and Kuramoto, Y.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Apr.}, Pages = {046214.1-046214.10}, Title = {Slow Switching in Globally Coupled Oscillators: Robustness and Occurrence through Delayed Coupling}, Volume = {63}, Year = {2001}, Bdsk-File-1 = {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}} @article{Kra1994, Author = {Krasitskii, Vladimir P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Fluid Mech.}, Pages = {1-20}, Title = {On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves}, Volume = {272}, Year = {1994}} @article{KudAbrGol2001, Author = {Kudrolli, A. and Abraham, M. C. and Gollub, J. P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Feb.}, Pages = {026208.1-026208.8}, Title = {Scarred Patterns in Surface Waves}, Volume = {63}, Year = {2001}, Bdsk-File-1 = {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}} @article{KudGol1996, Author = {Kudrolli, A. and Gollub, J. P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Oct.}, Number = {1-3}, Pages = {133-154}, Title = {Patterns and Spatiotemporal Chaos in Parametrically Forced Surface Waves: A Systematic Survey at Large Aspect Ratio}, Volume = {97}, Year = {1996}, Bdsk-File-1 = {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}} @article{KudPieGol1998, Author = {Kudrolli, A. and Pier, B. and Gollub, J. P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Nov.}, Number = {1-4}, Pages = {99-111}, Title = {Superlattice Patterns in Surface Waves}, Volume = {123}, Year = {1998}, Bdsk-File-1 = {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}} @article{Kum1996, Author = {Kumar, K.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Proc. Roy. Soc. Lond. A}, Month = {May}, Number = {1948}, Pages = {1113-1126}, Title = {Linear Theory of {F}araday Instability in Viscous Liquids}, Volume = {452}, Year = {1996}, Bdsk-File-1 = {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}} @article{KumTuc1994, Author = {Kumar, K. and Tuckerman, L. S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Fluid Mech.}, Month = {Nov.}, Pages = {49-68}, Title = {Parametric Instability of the Interface Between Two Fluids}, Volume = {279}, Year = {1994}} @article{KupOlaPro1999, Author = {Kupervasser, O. and Olami, Z. and Procaccia, I.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Number = {3}, Pages = {2587-2593}, Title = {Stability analysis of flame fronts: dynamical systems approach in the complex plane}, Volume = {59}, Year = {1999}, Bdsk-File-1 = {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}} @article{LopAlvHer2000, Author = {L{\'{o}}pez, C. and {\'{A}}lvarez, A. and Hern{\'{a}}ndez-Garc{\'{i}}a, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Sep.}, Number = {11}, Pages = {2300-2303}, Title = {Forecasting Confined Spatiotemporal Chaos with Genetic Alorithms}, Volume = {85}, Year = {2000}, Bdsk-File-1 = {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}} @article{LaiTro2003, Author = {Laing, C. R. and Troy, W. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {SIAM J. Applied Dynamical Systems}, Number = {3}, Pages = {487-516}, Title = {{PDE} Methods for Nonlocal Models}, Volume = {2}, Year = {2003}, Bdsk-File-1 = {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}} @article{LamWul2000, Author = {Lamb, J. S.W. and Wulff, C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Lett. A}, Month = {Mar.}, Number = {2-3}, Pages = {167-173}, Title = {Pinning and Locking of Discrete Waves}, Volume = {267}, Year = {2000}, Bdsk-File-1 = {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}} @book{LanLif1982, Address = {Oxford, UK}, Author = {Landau, L. D. and Lifshitz, E. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Edition = {2}, Publisher = {Pergamon Press}, Title = {Fluid Mechanics}, Year = {1982}, Bdsk-File-1 = {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}} @article{LarBus1990, Author = {Lara-Ochoa, F. and Bustos, V. P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Biosystems}, Pages = {215-222}, Title = {A Model for Aggregation-Dispersion Dynamics of a Population}, Volume = {24}, Year = {1990}, Bdsk-File-1 = {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}} @article{LauPug2000, Author = {Laugesen, R. S. and Pugh, M. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Euro. J. Appl. Math.}, Month = {Jun.}, Number = {3}, Pages = {293-351}, Title = {Properties of Steady States for Thin Film Equations}, Volume = {11}, Year = {2000}, Bdsk-File-1 = {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}} @article{LeeHooDie2001, Author = {Lee, C. T. and Hoopes, M. F. and Diehl, J. and Gilliland, W. and Huxel, G. and Leaver, E. V. and McCann, K. and Umbanhowar, J. and Mogilner, A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Theor. Bio.}, Month = {May}, Number = {2}, Pages = {201-219}, Title = {Non-Local Concepts and Models in Biology}, Volume = {210}, Year = {2001}, Bdsk-File-1 = {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}} @article{LenEps1991, Author = {Lengyel, I. and Epstein, I.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2010-02-18 10:23:23 -0600}, Journal = {Science}, Month = {Feb.}, Number = {4994}, Pages = {650-652}, Title = {Modeling of {T}uring Structures in the Chlorite-Iodite-Malonic Acid-Starch Reaction System}, Volume = {251}, Year = {1991}, Bdsk-File-1 = {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}} @article{LenKadEps1993, Author = {Lengyel, I. and Kadar, S. and Epstein, I.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Science}, Month = {Jan.}, Number = {5094}, Pages = {493-495}, Title = {Transient {T}uring Structures in a Gradient-Free Closed System}, Volume = {259}, Year = {1993}, Bdsk-File-1 = {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}} @misc{Lev2008, Author = {Leverentz, A. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Howpublished = {Senior thesis, Harvey Mudd College}, Title = {An Integrodifferential Equation Modeling 1-D Swarming Behavior}, Year = {2008}, Bdsk-File-1 = {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}} @article{LevSeg1985, Author = {Levin, S. A. and Segel, L A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {SIAM Review}, Pages = {45-67}, Title = {Pattern Generation in Space and Aspect}, Volume = {27}, Year = {1985}, Bdsk-File-1 = {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}} @article{LevRapCoh2001, Author = {Levine, H. and Rappel, W. J. and Cohen, I.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Jan.}, Pages = {017101.1-017101.4}, Title = {Self-Organization in Systems of Self-Propelled Particles}, Volume = {63}, Year = {2001}, Bdsk-File-1 = {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}} @article{Lew1994, Author = {Lewis, M. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Theor. Pop. Bio.}, Month = {Jun.}, Number = {3}, Pages = {277-312}, Title = {Spatial Coupling of Plant and Herbivore Dynamics: The Contribution of Herbivore Dispersal to Transient and Persistent Waves of Damage}, Volume = {45}, Year = {1994}, Bdsk-File-1 = {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}} @article{LiJi2004, Author = {Li, Q. S. and Ji, L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Apr.}, Number = {4}, Pages = {046205.1-046205.4}, Title = {Control of {T}uring Pattern Formation by Delayed Feedback}, Volume = {69}, Year = {2004}, Bdsk-File-1 = {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}} @article{LiJi20040, Author = {Li, Q. S. and Ji, L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Chem. 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J. and Oslonovitch, J. and Mazouz, N. and Plenge, F. and Krischer, K. and Ertl, G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Science}, Month = {Mar.}, Pages = {2395-2398}, Title = {{T}uring-Type Patterns on Electrode Surfaces}, Volume = {291}, Year = {2001}, Bdsk-File-1 = {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}} @article{Lif1996, Author = {Lifshitz, R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica A}, Month = {Nov.}, Number = {3-4}, Pages = {633-647}, Title = {The Symmetry of Quasiperiodic Crystals}, Volume = {232}, Year = {1996}, Bdsk-File-1 = {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}} @article{LifPet1997, Author = {Lifshitz, R. and Petrich, D. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Aug.}, Number = {7}, Pages = {1261-1264}, Title = {Theoretical Model for {F}araday Waves with Multiple-Frequency Forcing}, Volume = {79}, Year = {1997}, Bdsk-File-1 = {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}} @article{LinBerMar2000, Author = {Lin, A. 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Lett.}, Month = {May}, Number = {18}, Pages = {4240-4243}, Title = {Resonant Phase Patterns in a Reaction-Diffusion System}, Volume = {84}, Year = {2000}, Bdsk-File-1 = {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}} @article{LinHagArd2000, Author = {Lin, A. 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E}, Month = {Sept.}, Number = {3}, Pages = {3790-3798}, Title = {Four-Phase Patterns in Forced Oscillatory Systems}, Volume = {62}, Year = {2000}, Bdsk-File-1 = {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}} @article{LynAls1997, Author = {Lyngshansen, P. and Alstrom, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Fluid Mech.}, Pages = {301-344}, Title = {Perturbation Theory of Parametrically Driven Capillary Waves at Low Viscosity}, Volume = {351}, Year = {1997}} @article{MigNicMun2004, Author = {M{\'{\i}}guez, D. G. and Nicola, E. M. and Mu{\~{n}}uzuri, A. P. and Casademunt, J. and Sagu{\'{e}}s, F. and Kramer, L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. 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G. and P\'{e}rez-Villar, V. and Mu\~{n}uzuri, A. P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Jun.}, Pages = {066217.1-066217.12}, Title = {{T}uring Instability Controlled by Spatiotemporal Imposed Dynamics}, Volume = {71}, Year = {2005}, Bdsk-File-1 = {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}} @article{Mul1993, Author = {M{\"{u}}ller, H. W.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Nov.}, Number = {20}, Pages = {3287-3290}, Title = {Periodic Triangular Patterns in the {F}araday Experiment}, Volume = {71}, Year = {1993}, Bdsk-File-1 = {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}} @article{Mul1998, Author = {M{\"{u}}ller, H. W.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Nov.}, Number = {5}, Pages = {6199-6205}, Title = {Parametrically Driven Surface Waves on Viscous Ferrofluids}, Volume = {58}, Year = {1998}, Bdsk-File-1 = {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}} @incollection{MulFriPap1998, Author = {M{\"{u}}ller, H. W. and Friedrich, R. and Papathanassiou, D.}, Booktitle = {Evolution of Spontaneous Structures in Dissipative Continuous Systems}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Editor = {Busse, F. and M{\"{u}}ller, S. C.}, Month = {Jul.}, Pages = {231-265}, Publisher = {Springer}, Series = {Lecture Notes in Physics}, Title = {Theoretical and Experimental Investigations of the {F}araday Instability}, Year = {1998}} @article{MulWitC.W1997, Author = {M{\"{u}}ller, H. W. and Wittmer, H. and C.Wagner and Albers, J. and Knorr, K.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Mar.}, Number = {12}, Pages = {2357-2360}, Title = {Analytic Stability Theory for {F}araday Waves and the Observation of the Harmonic Surface Response}, Volume = {78}, Year = {1997}, Bdsk-File-1 = {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}} @article{Mac2000, Author = {Mackinson, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Eco. 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Magn. Magn. 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Lett.}, Month = {Jul.}, Number = {1}, Pages = {23-28}, Title = {Magnetic {F}araday-Instability}, Volume = {43}, Year = {1998}, Bdsk-File-1 = {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}} @book{MajBer2002, Address = {Cambridge, UK}, Author = {Majda, A. J. and Bertozzi, A. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Cambridge University Press}, Series = {Texts in Applied Mathematics}, Title = {Vorticity and Incompressible Flow}, Year = {2002}} @unpublished{MarAllMeu2001, Author = {Mari{\~{n}}o, I. P. and Allaria, E. and Meucci, R. and Boccaletti, S. and Arecchi, F. T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Information Encoding in Homoclinic Chaotic Systems}, Year = {2001}, Bdsk-File-1 = {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}} @article{MarGelLop2003, Author = {Marques, F. and Gelfgat, A. Y. and Lopez, J. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Jul.}, Pages = {016310.1-016310.13}, Title = {Tangent Double {H}opf Bifurcation in a Differentially Rotating Cylinder Flow}, Volume = {68}, Year = {2003}, Bdsk-File-1 = {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}} @article{MarKno1997, Author = {Martel, C. and Knobloch, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Nov.}, Number = {5}, Pages = {5544-5548}, Title = {Damping of Nearly Inviscid Water Waves}, Volume = {56}, Year = {1997}, Bdsk-File-1 = {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}} @unpublished{MarLinKha2002, Author = {Martinez, K. and Lin, A. L. and Kharrazian, R. and Sailer, X. and Swinney, H. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Resonance in Periodically Inhibited Reaction-Diffusion Systems}, Year = {2002}, Bdsk-File-1 = {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}} @article{MatCox2000, Author = {Matthews, P. C. and Cox, S. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Aug.}, Number = {2}, Pages = {R1473-R1476}, Title = {One-Dimensional Pattern Formation with {G}alilean Invariance Near a Stationary Bifurcation}, Volume = {62}, Year = {2000}, Bdsk-File-1 = {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}} @article{MatCox20000, Author = {Matthews, P. C. and Cox, S. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Nonlinearity}, Month = {Jul.}, Number = {4}, Pages = {1293-1320}, Title = {Pattern Formation with a Conservation Law}, Volume = {13}, Year = {2000}, Bdsk-File-1 = {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}} @book{Mei1982, Address = {New York, NY}, Author = {Meinhardt, H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Academic Press}, Title = {Models of Biological Pattern Formation}, Year = {1982}, Bdsk-File-1 = {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}} @article{MeiDe-Bos1997, Author = {Meixner, M. and De Wit, A. and Bose, S. and Sch{\"{o}}ll, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Jun.}, Number = {6}, Pages = {6690-6697}, Title = {Generic Spatiotemporal Dynamics Near Codimension-Two {T}uring-{H}opf Bifurcations}, Volume = {55}, Year = {1997}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1NZWlEZS1Cb3MxOTk3AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbK3xsMsNVBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDcoUAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoATWVpRGUtQm9zMTk5NwAADgAcAA0ATQBlAGkARABlAC0AQgBvAHMAMQA5ADkANwAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL01laURlLUJvczE5OTcAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9NZWlEZS1Cb3MxOTk30hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @unpublished{MekLan2002, Author = {Mekhonoshin, V. V. and Lange, A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {{F}araday Instability on Viscous Ferrofluids in a Horizontal Magnetic Field: Oblique Rolls of Arbitrary Orientation}, Year = {2002}, Bdsk-File-1 = {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}} @article{Mel2000, Author = {Melbourne, I.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Sep.}, Number = {1-4}, Pages = {226-234}, Title = {Hidden symmetries on partially unbounded domains}, Volume = {143}, Year = {2000}} @article{MelChoGol1989, Author = {Melbourne, I. and Chossat, P. and Golubitsky, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Proc. Roy. Soc. Edinburgh A}, Pages = {315-345}, Title = {Heteroclinic Cycles Involving Periodic Solutions in Mode Interactions with {O}(2) Symmetry}, Volume = {113}, Year = {1989}} @article{MelUmbSwi1994, Author = {Melo, F. and Umbanhowar, P. and Swinney, H. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jan.}, Number = {1}, Pages = {172-175}, Title = {Transition to Parametric Wave Patterns in a Vertically Oscillated Granular Layer}, Volume = {72}, Year = {1994}, Bdsk-File-1 = {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}} @article{MelUmbSwi1995, Author = {Melo, F. and Umbanhowar, P. and Swinney, H. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jan.}, Number = {21}, Pages = {3838-3841}, Title = {Hexagons, Kinks, and Disorder in Oscillated Granular Layers}, Volume = {75}, Year = {1995}, Bdsk-File-1 = {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}} @article{MilHen1990, Author = {Miles, J. and Henderson, D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Ann. Rev. Fluid Mech.}, Pages = {143-165}, Title = {Parametrically Forced Surface Waves}, Volume = {22}, Year = {1990}} @article{Mil1977, Author = {Miles, J.W}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Fluid Mech.}, Pages = {153-158}, Title = {On {H}amilton's Principle for Surface Waves}, Volume = {83}, Year = {1977}} @article{Mil1991, Author = {Milner, S. T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Fluid Mech.}, Month = {Apr.}, Pages = {81-100}, Title = {Square Patterns and Secondary Instabilities in Driven Capillary Waves}, Volume = {225}, Year = {1991}} @article{MimYam1982, Author = {Mimura, M. and Yamaguti, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Adv. Biophys.}, Pages = {19-65}, Title = {Pattern Formation in Interacting and Diffusing Systems in Population Biology}, Volume = {15}, Year = {1982}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAewAAAAAAewAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugpNaW1ZYW0xOTgyAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALcioxsMsd1BERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDcscAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBqTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoATWltWWFtMTk4MgAOABYACgBNAGkAbQBZAGEAbQAxADkAOAAyAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAVFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvTWltWWFtMTk4MgATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBMLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvTWltWWFtMTk4MtIcHSQloiUhXE5TRGljdGlvbmFyeRIAAYagXxAPTlNLZXllZEFyY2hpdmVyAAgAEQAWAB8AKAAyADUAOgA8AEUASwBSAF0AZQBsAG8AcQBzAHYAeAB6AHwAhgCTAJgAoAKQApIClwKgAqsCrwK9AsQCzQMcAyEDJAMxAzYAAAAAAAACAQAAAAAAAAAoAAAAAAAAAAAAAAAAAAADSA==}} @article{MogEde1999, Author = {Mogilner, A. and Edelstein-Keshet, L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Math. Bio.}, Month = {Jun.}, Number = {6}, Pages = {534-570}, Title = {A Non-Local Model for a Swarm}, Volume = {38}, Year = {1999}, Bdsk-File-1 = {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}} @article{MogEdeBen2003, Author = {Mogilner, A. and Edelstein-Keshet, L. and Bent, L. and Spiros, A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Math. Bio.}, Month = {Sep.}, Number = {4}, Pages = {353-389}, Title = {Mutual Interactions, Potentials, and Individual Distance in a Social Aggregation}, Volume = {47}, Year = {2003}, Bdsk-File-1 = {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}} @book{MooLew2004, Address = {Princeton, NJ}, Author = {Moorcroft, P. R. and Lewis, M. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {in preparation}, Publisher = {Princeton University Press}, Series = {Princeton Monographs in Population Biology}, Title = {Mechanistic Home Range Analysis: Investigating the Causes and Consequences of Carnivore Movement Behavior}, Year = {2004}} @unpublished{MotNisLai2002, Author = {Motter, A. E. and Nishikawa, T. and Lai, Y. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Range-Based Attack on Links in Scale-Free Networks: Are Long-Range Links Responsible for Small-World Phenomenon?}, Year = {2002}, Bdsk-File-1 = {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}} @article{MunDolZha1999, Author = {Mu{\~{n}}uzuri, A. P. and Dolnik, M. and Zhabotinsky, A. M. and Epstein, I. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Am. Chem. Soc.}, Month = {Sep.}, Number = {35}, Pages = {8065-8069}, Title = {Control of the Chlorine Dioxide-Iodine-Malonic Acid Oscillating Reaction by Illumination}, Volume = {121}, Year = {1999}, Bdsk-File-1 = {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}} @article{MujMel2001, Author = {Mujjica, N. and Melo, F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Jan.}, Pages = {011303.1-011303.14}, Title = {Experimental Study of Solid-Liquid-Type Transitions in Vibrated Granular Layers and the Relation with Surface Waves}, Volume = {63}, Year = {2001}, Bdsk-File-1 = {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}} @article{MurChi2001, Author = {Murakami, Y. and Chikano, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Fluids}, Month = {Jan.}, Number = {1}, Pages = {65-74}, Title = {Two-Dimensional Direct Numerical Simulation of Parametrically Excited Surface Waves in Viscous Fluid}, Volume = {13}, Year = {2001}, Bdsk-File-1 = {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}} @book{Mur2002b, Address = {New York}, Author = {Murray, J. D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2010-03-03 09:04:06 -0600}, Edition = {Third}, Number = {18}, Publisher = {Springer}, Series = {Interdisciplinary Applied Mathematics}, Title = {Mathematical Biology II: Spatial Models and Biomedical Applications}, Year = {2002}} @article{NedRavVic2000, Author = {N{\'{e}}da, Z. and Ravasz, E. and Vicsek, T. and Brechet, Y. and Barab{\'{a}}si, A. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Jun.}, Number = {6}, Pages = {6987-6992}, Title = {Physics of the Rhythmic Applause}, Volume = {61}, Year = {2000}, Bdsk-File-1 = {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}} @article{NagIke1991, Author = {Nagai, T. and Ikeda, T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Math. Biol.}, Pages = {169-184}, Title = {Travelling Waves in a Chemotactic Model}, Volume = {30}, Year = {1991}, Bdsk-File-1 = {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}} @article{NagMim1983, Author = {Nagai, T. and Mimura, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {SIAM J. Appl. Math.}, Pages = {449-464}, Title = {Asymptotic Behavior for a Nonlinear Degenerate Diffusion Equation in Population Dynamics}, Volume = {43}, Year = {1983}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAewAAAAAAewAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugpOYWdNaW0xOTgzAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbJ7xsMsfVBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDcs0AAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBqTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoATmFnTWltMTk4MwAOABYACgBOAGEAZwBNAGkAbQAxADkAOAAzAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAVFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvTmFnTWltMTk4MwATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBMLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvTmFnTWltMTk4M9IcHSQloiUhXE5TRGljdGlvbmFyeRIAAYagXxAPTlNLZXllZEFyY2hpdmVyAAgAEQAWAB8AKAAyADUAOgA8AEUASwBSAF0AZQBsAG8AcQBzAHYAeAB6AHwAhgCTAJgAoAKQApIClwKgAqsCrwK9AsQCzQMcAyEDJAMxAzYAAAAAAAACAQAAAAAAAAAoAAAAAAAAAAAAAAAAAAADSA==}} @book{NayBal1995, Address = {New York}, Author = {Nayfeh, A. H. and Balachandran, B.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {John Wiley and Sons, Inc.}, Series = {Wiley Series in Nonlinear Science}, Title = {Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods}, Year = {1995}} @unpublished{NeuHayTel2002, Author = {Neufeld, Z. and Haynes, P. H. and T{\'{e}}l, T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Chaotic Mixing Induced Transitions in Reaction-Diffusion Systems}, Year = {2002}, Bdsk-File-1 = {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}} @article{Neu2001, Author = {Neuhauser, C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Notices of the American Mathematical Society}, Month = {Dec.}, Number = {11}, Pages = {1304-1314}, Title = {Mathematical Challenges in Spatial Ecology}, Volume = {48}, Year = {2001}, Bdsk-File-1 = {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}} @article{NewPom1993, Author = {Newell, A. C. and Pomeau, Y.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Phys. A}, Month = {Apr.}, Number = {8}, Pages = {L429-L434}, Title = {Turbulent Crystals in Macroscopic Systems}, Volume = {26}, Year = {1993}, Bdsk-File-1 = {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}} @article{NewWhi1969, Author = {Newell, A. C. and Whitehead, J. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Fluid Mech.}, Month = {Sep.}, Number = {2}, Pages = {279-303}, Title = {Finite Bandwidth, Finite Amplitude Convection}, Volume = {38}, Year = {1969}} @article{New2002, Author = {Newman, M. E.J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Jul.}, Pages = {016128.1-016128.1}, Title = {Spread of Epidemic Disease on Networks}, Volume = {66}, Year = {2002}, Bdsk-File-1 = {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}} @article{NewRanNew1999, Author = {Newman, W. I. and Rand, R. H. and Newman, A. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Chaos}, Month = {Mar.}, Number = {1}, Pages = {242-253}, Title = {Dynamics of a Nonlinear Parametrically Excited Partial Differential Equation}, Volume = {9}, Year = {1999}, Bdsk-File-1 = {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}} @book{NicPri1977, Address = {New York}, Author = {Nicolis, G. and Prigogine, I.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {John Wiley and Sons}, Title = {Self-Organization in Nonequilibrium Systems}, Year = {1977}} @article{NozIke1984, Author = {Nozakura, T. and Ikeuchi, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-11-11 11:04:12 -0600}, Journal = {Astrophys. J.}, Month = {Apr.}, Number = {1}, Pages = {40-52}, Title = {Formation of Dissipative Structures in Galaxies}, Volume = {279}, Year = {1984}, Bdsk-File-1 = {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}} @book{Oku1980, Address = {New York}, Author = {Okubo, A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Springer}, Title = {Diffusion and Ecological Problems}, Year = {1980}} @incollection{OkuGruEde2001, Address = {New York}, Author = {Okubo, A. and Gr{\"{u}}nbaum, D. and Edelstein-Keshet, L.}, Booktitle = {Diffusion and Ecological Problems}, Chapter = {7}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Edition = {Second}, Editor = {Okubo, A. and Levin, S. A.}, Pages = {197-237}, Publisher = {Springer}, Series = {Interdisciplinary Applied Mathematics: Mathematical Biology}, Title = {The Dynamics of Animal Grouping}, Volume = {14}, Year = {2001}, Bdsk-File-1 = {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}} @article{OkuSakIna1977, Author = {Okubo, A. and Sakamoto, W. and Inagaki, T. and Kuroki, T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Bull. Jap. Soc. Sci. Fish}, Pages = {1369-1377}, Subtitle = {V. Note on the Dynamics of Fish Schooling}, Title = {Studies on the Schooling Behavior of Fish}, Volume = {9}, Year = {1977}} @article{OrdBalMos2003, Author = {Ordemann, A. and Balazsi, G. and Moss, F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Nova Acta Leopoldina}, Number = {332}, Pages = {87-103}, Title = {Motions of {D}aphnia in a light field: Random Walks with a Zooplankton}, Volume = {88}, Year = {2003}} @article{OroBan2001, Author = {Oron, A. and Bankoff, S. G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Fluids}, Number = {5}, Pages = {1107-1117}, Title = {Dynamics of a Condensing Liquid Film Under Conjoining/Disjoining Pressures}, Volume = {13}, Year = {2001}} @article{OroDavBan2003, Author = {Oron, A. and Davis, S. H. and Bankoff, S. G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Rev. Mod. Phys.}, Number = {3}, Pages = {931-980}, Title = {Long-Scale Evolution of Thin Liquid Films}, Volume = {69}, Year = {2003}, Bdsk-File-1 = {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}} @article{OuySwi1991, Author = {Ouyang, Q. and Swinney, H. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Nature}, Month = {Aug.}, Number = {6336}, Pages = {610-612}, Title = {Transition from a Uniform State to Hexagonal and Striped {T}uring Patterns}, Volume = {352}, Year = {1991}, Bdsk-File-1 = {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}, Bdsk-File-2 = {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}} @article{OuyNosSwi1992, Author = {Ouyang, Q. and Noszticzius, Z. and Swinney, H. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Phys. Chem.}, Number = {16}, Pages = {6773-6776}, Title = {Spatial Bistability of Two-Dimensional {T}uring Patterns in a Reaction-Diffusion System}, Volume = {96}, Year = {1992}, Bdsk-File-1 = {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}} @article{PamRamRes1995, Author = {Pampaloni, E. and Ramazza, P. L. and Residori, S. and Arecchi, F. T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jan.}, Number = {2}, Pages = {258-261}, Title = {Two-Dimensional Crystals and Quasicrystals in Nonlinear Optics}, Volume = {74}, Year = {1995}, Bdsk-File-1 = {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}, Bdsk-File-2 = {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}} @article{PamResSor1997, Author = {Pampaloni, E. and Residori, S. and Soria, S. and Arecchi, F. T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Feb.}, Number = {6}, Pages = {1042-1045}, Title = {Phase Locking in Nonlinear Optical Patterns}, Volume = {78}, Year = {1997}, Bdsk-File-1 = {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}} @unpublished{ParMoo2002, Author = {Park, H. K. and Moon, H. T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Square to Stripe Transition and Superlattice Patterns in Vertically Oscillated Granular Layers}, Year = {2002}, Bdsk-File-1 = {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}} @article{ParCos1999, Author = {Parravano, A. and Cosenza, M. G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Int. J. Bifurcat. Chaos}, Month = {Dec.}, Number = {12}, Pages = {2311-2314}, Title = {Cluster Dynamics in Systems with Constant Mean Field Coupling}, Volume = {9}, Year = {1999}, Bdsk-File-1 = {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}} @article{ParEde1999, Author = {Parrish, J. K. and Edelstein-Keshet, L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Science}, Month = {Apr.}, Pages = {99-101}, Title = {Complexity, Pattern, and Evolutionary Trade-Offs in Animal Aggregation}, Volume = {284}, Year = {1999}, Bdsk-File-1 = {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}} @article{ParVisGru2003, Author = {Parrish, J. K. and Viscido, S. V. and Gr{\"{u}}nbaum, D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Bio. Bull.}, Month = {Jun.}, Number = {3}, Pages = {296-305}, Title = {Self-Organized Fish Schools: An Examination of Emergent Properties}, Volume = {202}, Year = {2003}, Bdsk-File-1 = {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}} @article{ParMar2005, Author = {Partan, S. R. and Marler, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Am. Nat.}, Number = {2}, Pages = {231-245}, Title = {Issues in the Classification of Multimodal Communication Signals}, Volume = {166}, Year = {2005}} @book{Pas2005, Address = {London}, Author = {Passino, K. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Springer}, Title = {Biomimicry for Optimization, Control, and Automation}, Year = {2005}} @article{PasDem1984, Author = {Passo, R. Dal and Demottoni, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {J. Math. Bio.}, Pages = {103-112}, Title = {Aggregative Effects for a Reaction-Advection Equation}, Volume = {20}, Year = {1984}, Bdsk-File-1 = {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}} @article{PatHunKal2001, Author = {Patil, D. J. and Hunt, B. R. and Kalnay, E. and Yorke, J. A. and Ott, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jun.}, Number = {26}, Pages = {5878-5881}, Title = {Local Low Dimensionality of of Atmospheric Dynamics}, Volume = {86}, Year = {2001}, Bdsk-File-1 = {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}} @article{PerMar1996, Author = {Percus, A. G. and Martin, O. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Feb.}, Number = {8}, Pages = {1188-1191}, Title = {Finite Size and Dimensional Dependence in the {E}uclidean Traveling Salesman Prolem}, Volume = {76}, Year = {1996}, Bdsk-File-1 = {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}} @article{PerDe-Dul1993, Author = {Perraud, J. J. and De Wit, A. and Dulos, E. and DeKepper, P. and Dewel, G. and Borckmans, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Aug.}, Number = {8}, Pages = {1272-1275}, Title = {One Dimensional ``Spirals'': Novel Asynchronous Chemical Wave Sources}, Volume = {71}, Year = {1993}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1QZXJEZS1EdWwxOTkzAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbsdxsMsu1BERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDcwsAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAUGVyRGUtRHVsMTk5MwAADgAcAA0AUABlAHIARABlAC0ARAB1AGwAMQA5ADkAMwAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1BlckRlLUR1bDE5OTMAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9QZXJEZS1EdWwxOTkz0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{PiParLee2000, Author = {Pi, H. J. and Park, S. and Lee, J. and Lee, K. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jun.}, Number = {23}, Pages = {5316-5319}, Title = {Superattice, Rhombus, Square, and Hexagonal Standing Waves in Magnetically Driven Ferrofluid Surface}, Volume = {84}, Year = {2000}} @article{Pis1994, Author = {Pismen, L. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Chem. Phys.}, Month = {Aug.}, Number = {4}, Pages = {3135-3146}, Title = {{T}uring Patterns and Solitary Structures under Global Control}, Volume = {101}, Year = {1994}, Bdsk-File-1 = {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}} @article{PisNep1993, Author = {Pismen, L. M. and Nepomnyashchy, A. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Europhys. Lett.}, Month = {Nov.}, Number = {6}, Pages = {461-465}, Title = {Structure of Dislocations in the Hexagonal Pattern}, Volume = {24}, Year = {1993}} @article{PorBlo1998, Author = {Porco, T. C. and Blower, S. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Theor. Pop. Biol.}, Month = {Oct.}, Number = {2}, Pages = {117-132}, Title = {Quantifying the Intrinsic Transmission Dynamics of Tuberculosis}, Volume = {54}, Year = {1998}, Bdsk-File-1 = {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}} @article{PorSil2002, Author = {Porter, J. and Silber, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Aug.}, Number = {8}, Pages = {084501.1-084501.4}, Title = {Broken Symmetries and Pattern Formation in Two-Frequency Forced {F}araday Waves}, Volume = {89}, Year = {2002}, Bdsk-File-1 = {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}} @unpublished{PorSil2003, Author = {Porter, J. and Silber, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Submitted to Physica D}, Title = {Resonant Triad Dynamics in Weakly Damped {F}araday Waves with Two-Frequency Forcing}, Year = {2003}} @article{PorTopSil2004, Author = {Porter, J. and Topaz, C. M. and Silber, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2011-06-16 08:12:15 -0500}, Journal = {Phys. Rev. Lett.}, Month = {July}, Number = {3}, Pages = {034502}, Title = {Pattern Control Via Multi-Frequency Parametric Forcing}, Volume = {93}, Year = {2004}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1Qb3JUb3BTaWwyMDA0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALa3mxsMs5lBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDczYAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAUG9yVG9wU2lsMjAwNAAADgAcAA0AUABvAHIAVABvAHAAUwBpAGwAMgAwADAANAAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1BvclRvcFNpbDIwMDQAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9Qb3JUb3BTaWwyMDA00hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{PriLef1968, Author = {Prigogine, I. and Lefever, R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Chem. Phys.}, Month = {Feb.}, Number = {4}, Pages = {1695-1700}, Title = {Symmetry Breaking Instabilities in Dissipative Systems {II}}, Volume = {48}, Year = {1968}, Bdsk-File-1 = {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}} @article{QiaWei1993, Author = {Qian, S. and Weiss, J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. 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Phys.}, Month = {May}, Number = {1}, Pages = {155-175}, Title = {Wavelets and the Numerical Solution of Partial Differential Equations}, Volume = {106}, Year = {1993}, Bdsk-File-1 = {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}} @article{RudMigMun2003, Author = {R\"{u}diger, S. and M\'{\i}guez, D. 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Lett.}, Month = {Mar.}, Number = {12}, Pages = {128301.1-128301.4}, Title = {Dynamics of {T}uring Patterns under Spatiotemporal Forcing}, Volume = {90}, Year = {2003}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1SdWRNaWdNdW4yMDAzAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbvAxsMtT1BERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDc58AAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAUnVkTWlnTXVuMjAwMwAADgAcAA0AUgB1AGQATQBpAGcATQB1AG4AMgAwADAAMwAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1J1ZE1pZ011bjIwMDMAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9SdWRNaWdNdW4yMDAz0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{Rad1992, Author = {Radder, A. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Fluid Mech.}, Pages = {435-455}, Title = {An Explicit {H}amiltonian Formulation of Surface Waves in Water of Finite Depth}, Volume = {237}, Year = {1992}} @book{Rai1989, Address = {Oxford}, Author = {Rainey, R. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Clarendon Press}, Series = {Oxford Science Publications}, Title = {Migration and Meteorology: Flight Behavior and the Atmospheric Environment of Locusts and other Migrant Pests}, Year = {1989}} @article{RapNicSar1999, Author = {Rappel, W. J. and Nicol, A. and Sarkissian, A. and Levine, H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Aug.}, Number = {6}, Pages = {1247-1250}, Title = {Self-Organized Vortex State in Two-Dimensional {D}ictyostelium Dynamics}, Volume = {83}, Year = {1999}, Bdsk-File-1 = {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}} @article{RaqDoc1999, Author = {Raquepas, J. 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D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Number = {1}, Pages = {94-110}, Title = {Dynamics of a Reaction-Diffusion Equation with Nonlocal Inhibition}, Volume = {134}, Year = {1999}, Bdsk-File-1 = {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}} @article{RehAhl1985, Author = {Rehberg, I. and Ahlers, G.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Number = {5}, Pages = {500-503}, Title = {Experimental observation of a codimension-two bifurcation in a binary fluid mixture}, Volume = {55}, Year = {1985}, Bdsk-File-1 = {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}} @article{ResBerRom2002, Author = {Residori, S. and Berthet, R. and Roman, B. and Fauve, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jan.}, Number = {2}, Pages = {024502.1-024502.4}, Title = {Noise-Induced Bistability of Parametric Surface Waves}, Volume = {88}, Year = {2002}, Bdsk-File-1 = {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}} @article{Rie1990, Author = {Riecke, H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Europhys. Lett.}, Month = {Feb.}, Number = {3}, Pages = {213-218}, Title = {Stable Wave-Number Kinks in Parametrically Excited Standing Waves}, Volume = {11}, Year = {1990}} @article{RieCraKno1988, Author = {Riecke, H. and Crawford, J. D. and Knobloch, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Oct.}, Number = {17}, Pages = {1942-1945}, Title = {Time-Modulated Oscillatory Convection}, Volume = {61}, Year = {1988}, Bdsk-File-1 = {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}} @article{RieSilKra1994, Author = {Riecke, H. and Silber, M. and Kramer, L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. 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E}, Month = {May}, Number = {5}, Pages = {4100-4113}, Title = {Temporal Forcing of Small-Amplitude Waves in Anisotropic Systems}, Volume = {49}, Year = {1994}, Bdsk-File-1 = {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}} @phdthesis{Rob2000, Author = {Robins, V.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Month = {Jun.}, School = {University of Colorado}, Title = {Computational Topology at Multiple Resolutions: Foundations and Applications to Fractals and Dynamics}, Year = {2000}, Bdsk-File-1 = {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}} @article{RobMeiBra1998, Author = {Robins, V. and Meiss, J. D. and Bradley, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Nonlinearity}, Month = {Jul.}, Number = {4}, Pages = {913-922}, Title = {Computing Connectedness: An Exercise in Computational Topology}, Volume = {11}, Year = {1998}, Bdsk-File-1 = {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}} @article{RobMeiBra2000, Author = {Robins, V. and Meiss, J. D. and Bradley, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {May}, Number = {3-4}, Pages = {276-300}, Title = {Computing Connectedness: Disconnectedness and Discreteness}, Volume = {139}, Year = {2000}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1Sb2JNZWlCcmEyMDAwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALblkxsMtTlBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDc54AAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAUm9iTWVpQnJhMjAwMAAADgAcAA0AUgBvAGIATQBlAGkAQgByAGEAMgAwADAAMAAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1JvYk1laUJyYTIwMDAAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9Sb2JNZWlCcmEyMDAw0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{RogPesSch2003, Author = {Rogers, J. L. and Pesch, W. and Schatz, M. F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Nonlinearity}, Month = {Jan.}, Number = {1}, Pages = {C1-C10}, Title = {Pattern Formation in Verticaly Oscillated Convection}, Volume = {16}, Year = {2003}, Bdsk-File-1 = {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}} @article{RogSchBou2000, Author = {Rogers, J. L. and Schatz, M. F. and Bougie, J. L. and Swift, J. B.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jan.}, Number = {1}, Pages = {87-90}, Title = {{R}ayleigh-{B}{\'{e}}nard Convection in a Vertically Oscillated Fluid Layer}, Volume = {84}, Year = {2000}, Bdsk-File-1 = {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}} @article{RogSchBra2000, Author = {Rogers, J. L. and Schatz, M. F. and Brausch, O. and Pesch, W.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Nov.}, Number = {20}, Pages = {4281-4284}, Title = {Superlattice Patterns in Vertically Oscillated {R}ayleigh-{B}{\'{e}}nard Convection}, Volume = {85}, Year = {2000}, Bdsk-File-1 = {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}} @unpublished{RogSchPes2001, Author = {Rogers, J. L. and Schatz, M. F. and Pesch, W. and Brausch, O.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Complex-Ordered Patterns in Shaken Convection}, Year = {2001}, Bdsk-File-1 = {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}} @book{Ros1995, Address = {New York}, Author = {Rosen, J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Springer-Verlag}, Title = {Symmetry in Science}, Year = {1995}} @article{Ros1996, Author = {Rosensweig, R. E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Science}, Month = {Feb.}, Number = {5249}, Pages = {614-615}, Title = {Negative Viscosity in a Magnetic Fluid}, Volume = {271}, Year = {1996}} @article{RotDomNep2000, Author = {Rotstein, H. G. and Domoshnitsky, A. I. and Nepomnyashchy, A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Number = {1-4}, Pages = {137-149}, Title = {Front motion for phase transitions in systems with memory}, Volume = {146}, Year = {2000}, Bdsk-File-1 = {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}} @article{RovMen1992, Author = {Rovinsky, A. and Menzinger, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. A}, Month = {Nov.}, Number = {10}, Pages = {6315-6322}, Title = {Interaction of {T}uring and {H}opf Bifurcations in Chemical Systems}, Volume = {46}, Year = {1992}, Bdsk-File-1 = {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}} @inproceedings{RucSilFin2002, Address = {Basel}, Author = {Rucklidge, A. and Silber, M. and Fineberg, J.}, Booktitle = {Bifurcations, Symmetry and Patterns}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Editor = {Buescu, J. and Castro, S. and Dias, A. P. and Labouriau, I.}, Pages = {1-14}, Publisher = {Birkhauser}, Title = {Secondary Instabilities of Hexagons: A Bifurcation Analysis of Experimentally Observed {F}araday Wave Patterns}, Year = {2002}, Bdsk-File-1 = {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}} @article{RucRuc2003, Author = {Rucklidge, A. M. and Rucklidge, W. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Apr.}, Number = {1-2}, Pages = {62-82}, Title = {Convergence Properties of the 8, 10, and 12 Mode Representations of Quasipatterns}, Volume = {78}, Year = {2003}, Bdsk-File-1 = {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}} @book{Rue1969, Address = {New York}, Author = {Ruelle, D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {W. A. Benjamin}, Series = {Mathematical Physics Monograph Series}, Title = {Statistical Mechanics: Rigorous Results}, Year = {1969}} @article{Rul2001, Author = {Rulkov, N. F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jan.}, Number = {1}, Pages = {183-186}, Title = {Regularization of Synchronized Chaotic Bursts}, Volume = {86}, Year = {2001}, Bdsk-File-1 = {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}} @article{SagMigNic2004, Author = {Sagu{\'{e}}s, F. and M{\'{i}}guez, D. G. and Nicola, E. M. and Mu{\~{n}}uzuri, A. M. and Casademunt, J. and Kramer, L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Dec.}, Number = {1-2}, Pages = {235-242}, Title = {Travelling-Stripe Forcing of {T}uring Patterns}, Volume = {199}, Year = {2004}, Bdsk-File-1 = {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}} @article{Sak1973, Author = {Sakai, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Biophys.}, Pages = {82-90}, Title = {A Model for Group Structure and Its Behavior}, Volume = {13}, Year = {1973}} @article{SatMim1985, Author = {Satsuma, J. and Mimura, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J Phys. Soc. Japan}, Pages = {894-900}, Title = {Exact Treatments of Nonlinear Diffusion Equations with Singular Integral Terms}, Volume = {54}, Year = {1985}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAewAAAAAAewAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugpTYXRNaW0xOTg1AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALa05xsMtm1BERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDc+sAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBqTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAU2F0TWltMTk4NQAOABYACgBTAGEAdABNAGkAbQAxADkAOAA1AA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAVFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvU2F0TWltMTk4NQATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBMLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvU2F0TWltMTk4NdIcHSQloiUhXE5TRGljdGlvbmFyeRIAAYagXxAPTlNLZXllZEFyY2hpdmVyAAgAEQAWAB8AKAAyADUAOgA8AEUASwBSAF0AZQBsAG8AcQBzAHYAeAB6AHwAhgCTAJgAoAKQApIClwKgAqsCrwK9AsQCzQMcAyEDJAMxAzYAAAAAAAACAQAAAAAAAAAoAAAAAAAAAAAAAAAAAAADSA==}} @article{SchPedMoo2001, Author = {Schaffer, W. M. and Pederson, B. S. and Moore, B. K. and Skarpaas, O. and King, A. A. and Bronnikova, T. V.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Chaos Sol. Frac.}, Month = {Feb.}, Number = {2}, Pages = {251-264}, Title = {Sub-harmonic Resonance and Multi-Annual Oscillations in Northern Mammals: A Non-Linear Dynamical Systems Perspective}, Volume = {12}, Year = {2001}, Bdsk-File-1 = {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}} @article{SchEbeErd2005, Author = {Schimansky-Geier, L. and Ebeling, W. and Erdmann, U.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Acta Physica Polonica B}, Month = {May}, Number = {5}, Pages = {1757-1769}, Title = {Stationary Distribution Densities of Active Brownian Particles}, Volume = {36}, Year = {2005}, Bdsk-File-1 = {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}} @article{SchKepMul2003, Author = {Schmidt, B. and de Kepper, P. and M{\"{u}}ller, S. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Mar.}, Number = {11}, Pages = {118302.1-118302.4}, Title = {Destabilization of {T}uring Structures by Electric Fields}, Volume = {90}, Year = {2003}, Bdsk-File-1 = {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}} @book{Sch1971, Address = {San Francisco}, Author = {Schneirla, T. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {W. H. Freeman}, Title = {Army Ants: A Study in Social Organization}, Year = {1971}} @article{SchEbeTil2001, Author = {Schweitzer, F. and Ebeling, W. and Tilch, B.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Aug.}, Pages = {021110.1-021110.12}, Title = {Statistical Mechanics of Canonical-Dissipative Systems and Applications to Swarm Dynamics}, Volume = {64}, Year = {2001}, Bdsk-File-1 = {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}} @book{Sco1991, Address = {Oxford}, Author = {Scott, S. K.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Oxford University Press}, Series = {Intl. Ser. of Monographs on Chemistry}, Title = {Chemical Chaos}, Year = {1991}} @article{Seg1969, Author = {Segel, L. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Fluid Mech.}, Month = {Aug.}, Number = {1}, Pages = {203-224}, Title = {Distant Side-Walls Cause Slow Amplitude Modulation of Cellular Convection}, Volume = {38}, Year = {1969}} @unpublished{SemSch2001, Author = {Semwogerere, D. and Schatz, M. F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Evolution of Hexagonal Patterns from Controlled Initial Conditions in a {B}{\'{e}}nard-{M}arangoni Convection Experiment}, Year = {2001}, Bdsk-File-1 = {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}} @article{SetBer2002, Author = {Setayeshgar, S. and Bernoff, A. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jan.}, Number = {2}, Pages = {028101.1-028101.4}, Title = {Scroll Waves in the Presence of Slowly Varying Anisotropy with Application to the Heart}, Volume = {88}, Year = {2002}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAewAAAAAAewAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugpTZXRCZXIyMDAyAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALa8bxsMtdVBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDc8UAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBqTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAU2V0QmVyMjAwMgAOABYACgBTAGUAdABCAGUAcgAyADAAMAAyAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAVFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvU2V0QmVyMjAwMgATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBMLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvU2V0QmVyMjAwMtIcHSQloiUhXE5TRGljdGlvbmFyeRIAAYagXxAPTlNLZXllZEFyY2hpdmVyAAgAEQAWAB8AKAAyADUAOgA8AEUASwBSAF0AZQBsAG8AcQBzAHYAeAB6AHwAhgCTAJgAoAKQApIClwKgAqsCrwK9AsQCzQMcAyEDJAMxAzYAAAAAAAACAQAAAAAAAAAoAAAAAAAAAAAAAAAAAAADSA==}} @article{SetSme2003, Author = {Sethian, J. A. and Smereka, P.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Ann. Rev. 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W.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Nov.}, Number = {20}, Pages = {1951-1954}, Title = {Metallic Phase with Long-Range Orientational Order and No Translational Symmetry}, Volume = {53}, Year = {1984}, Bdsk-File-1 = {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}} @unpublished{ShoDOrPas2008, Author = {Short, M. B. and D'Orsogna, M. R. and Pasour, V. B. and Tita, G. E. and Brantingham, P. J. and Bertozzi, A. L. and Chayes, L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Mathematical Models and Methods in Applied Sciences}, Note = {to appear}, Title = {A Statistical Model of Criminal Behavior}, Year = {2008}} @article{SilKno1991, Author = {Silber, M. and Knobloch, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Nonlinearity}, Month = {Nov.}, Number = {4}, Pages = {1063-1106}, Title = {{H}opf Bifurcation on a Square Lattice}, Volume = {4}, Year = {1991}, Bdsk-File-1 = {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}} @article{SilPro1998, Author = {Silber, M. and Proctor, M. R.E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett}, Month = {Sep.}, Number = {12}, Pages = {2450-2453}, Title = {Nonlinear Competition Between Small and Large Hexagonal Patterns}, Volume = {81}, Year = {1998}, Bdsk-File-1 = {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}} @article{SilSke1999, Author = {Silber, M. and Skeldon, A. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {May}, Number = {5}, Pages = {5446-5456}, Title = {Parametrically Excited Surface Waves: Two-frequency Forcing, Normal Form Symmetries, and Pattern Selection}, Volume = {59}, Year = {1999}, Bdsk-File-1 = {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}} @article{SilTopSke2000, Author = {Silber, M. and Topaz, C. 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C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Sep.}, Number = {1-4}, Pages = {205-225}, Title = {Two-Frequency Forced {F}araday Waves: Weakly Damped Modes and Pattern Selection}, Volume = {143}, Year = {2000}, Bdsk-File-1 = {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}} @article{SimRam2002, Author = {Simha, R. A. and Ramaswamy, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jul.}, Number = {5}, Pages = {028181.1-058101.4}, Title = {Hydrodynamic Fluctuations and Instabilities in Ordered Suspensions of Self-Propelled Particles}, Volume = {89}, Year = {2002}, Bdsk-File-1 = {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}} @article{SimRam20020, Author = {Simha, R. A. and Ramaswamy, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica A}, Month = {Apr.}, Pages = {262-269}, Title = {Statistical Hydrodynamics of Ordered Suspensions of Self-Propelled Particles: Waves, Giant Number Fluctuations and Instabilities}, Volume = {306}, Year = {2002}, Bdsk-File-1 = {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}} @article{SimDesHag2001, Author = {Simpson, S. J. and Despland, E. and H{\"{a}}gele, B. F. and Dodgson, T.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Proc. Natl. Acad. Sci.}, Month = {Mar.}, Number = {7}, Pages = {3895-3897}, Title = {Gregarious Behavior in Desert Locusts is Evoked by Touching their Back Legs}, Volume = {98}, Year = {2001}, Bdsk-File-1 = {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}} @article{SimMcCHag1999, Author = {Simpson, S. J. and McCaffery, A. R. and H{\"{a}}gele, B. F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Biol. Rev.}, Month = {Nov.}, Number = {4}, Pages = {461-480}, Title = {A Behavioral Analysis of Phase Change in the Desert Locust}, Volume = {74}, Year = {1999}, Bdsk-File-1 = {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}} @book{Sin1977, Address = {Chicago}, Author = {Sinclair, A. R.E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {University of Chicago Press}, Title = {The {A}frican Buffalo: A Study of Resource Limitation of Populations}, Year = {1977}} @article{SkeSil1998, Author = {Skeldon, A. C. and Silber, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Nov.}, Number = {1-4}, Pages = {117-133}, Title = {New Stability Results for Patterns in a Model of Long-Wavelength Convection}, Volume = {122}, Year = {1998}, Bdsk-File-1 = {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}} @article{Ske1951, Author = {Skellam, J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Biometrika}, Pages = {196-218}, Title = {Random Dispersal in Theoretical Populations}, Volume = {38}, Year = {1951}} @incollection{Ske1973, Address = {New York}, Author = {Skellam, J.}, Booktitle = {The Mathematical Theory of the Dynamics of Biological Populations}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Editor = {Bartlett, M. S. and Hiorns, R. W.}, Publisher = {Academic Press}, Title = {The Formulation and Interpretation of Mathematical Models of Diffusionary Processes in Population Biology}, Year = {1973}} @article{SpiTooKno1998, Author = {Spina, A. and Toomre, J. and Knobloch, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Jan.}, Number = {1}, Pages = {524-545}, Title = {Confined states in large-aspect-ratio thermosolutal convection}, Volume = {57}, Year = {1998}, Bdsk-File-1 = {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}} @article{Spr1957, Author = {Springer, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Ecology}, Month = {Jan.}, Number = {1}, Pages = {166-171}, Title = {Some Observations of the Behavior of Schools of Fishes in the {G}ulf of {M}exico and Adjacent Waters}, Volume = {38}, Year = {1957}} @book{Str1989, Address = {New York}, Author = {Strikwerda, J. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Chapman \& Hall}, Title = {Finite Difference Schemes and Partial Differential Equations}, Year = {1989}, Bdsk-File-1 = {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}} @book{Str1994, Address = {Reading, Massachusetts}, Author = {Strogatz, S. H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Addison-Wesley}, Series = {Studies in Nonlinearity}, Title = {Nonlinear Dynamics and Chaos}, Year = {1994}, Bdsk-File-1 = {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}} @article{SuzSak1973, Author = {Suzuki, R. and Sakai, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Biophys.}, Pages = {281-282}, Title = {Movement of a Group of Animals}, Volume = {13}, Year = {1973}} @article{TonTu1998, Author = {Toner, J. and Tu, Y.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Oct.}, Number = {4}, Pages = {4828-4858}, Title = {Flocks, Herds, and Schools: A Quantitative Theory of Flocking}, Volume = {58}, Year = {1998}, Bdsk-File-1 = {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}} @article{TopKyePik2001, Author = {Topaj, D. and Kye, W. H. and Pikovsky, A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Dec.}, Number = {7}, Pages = {074101.1-074101.4}, Title = {Transition to Cohenerence in Populations of Coupled Chaotic Oscillators: A Linear Response Approach}, Volume = {87}, Year = {2001}, Bdsk-File-1 = {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}} @unpublished{Top2009, Author = {Topaz, C. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {{B}iometrics (in press)}, Title = {Review of {C}ontinuum {M}odeling in the {P}hysical {S}ciences by van {G}roesen and {M}olennar}, Year = {2009}} @article{TopBerLog2008, Abstract = {We construct an individual-based kinematic model of rolling migratory locust swarms. The model incorporates social interactions, gravity, wind, and the effect of the impenetrable boundary formed by the ground. We study the model using numerical simulations and tools from statistical mechanics, namely the notion of H-stability. For a free-space swarm (no wind and gravity), as the number of locusts increases, the group approaches a crystalline lattice of fixed density if it is H-stable, and in contrast becomes ever denser if it is catastrophic. Numerical simulations suggest that whether or not a swarm rolls depends on the statistical mechanical properties of the corresponding free-space swarm. For a swarm that is H-stable in free space, gravity causes the group to land and form a crystalline lattice. Wind, in turn, smears the swarm out along the ground until all individuals are stationary. In contrast, for a swarm that is catastrophic in free space, gravity causes the group to land and form a bubble-like shape. In the presence of wind, the swarm migrates with a rolling motion similar to natural locust swarms. The rolling structure is similar to that observed by biologists, and includes a takeoff zone, a landing zone, and a stationary zone where grounded locusts can rest and feed.}, Address = {LES ULIS CEDEX A}, Af = {Topaz, C. M. Bernoff, A. J. Logan, S. Toolson, W.}, Author = {Topaz, C. M. and Bernoff, A. J. and Logan, S. and Toolson, W.}, Author-Address = {Macalester Coll, Dept Math & Comp Sci, St Paul, MN 55105 USA. Harvey Mudd Coll, Dept Math, Claremont, CA 91711 USA. Harvey Mudd Coll, Dept Engn, Claremont, CA 91711 USA.}, Cited-Reference-Count = {56}, Cited-References = {ALBRECHT FO, 1967, POLYMORPHISME PHASAI;ALDANA M, 2003, J STAT PHYS, V112, P135;ALT W, 1985, NONLINEAR ANAL-THEOR, V9, P811;BEECHAM JA, 1999, J THEOR BIOL, V198, P533;BERNOFF AJ, 2007, PREPRINT;BRESSLOFF PC, 2004, SIAM J APPL MATH, V64, P1668, DOI;10.1137/S0036139903436017;BUHL J, 2006, SCIENCE, V312, P1402, DOI 10.1126/science.1125142;CHUANG YL, 2007, PREPRINT;COLLETT M, 1998, P NATL ACAD SCI USA, V95, P13052;COUZIN ID, 2002, J THEOR BIOL, V218, P1, DOI 10.1006/yjtbi.3065;DORSOGNA MR, 2006, PHYS REV LETT, V96, ARTN 104302;EBELING W, 2003, COMPLEXITY, V8, P23;EDELSTEINKESHET L, 1998, J MATH BIOL, V36, P515;EFTIMIE R, 2007, B MATH BIOL, V69, P1537, DOI 10.1007/s11538-006-9175-8;ERDMANN U, 2002, PHYS REV E 1, V65, ARTN 061106;ERDMANN U, 2003, FLUCT NOISE LETT, V3, L145;ERDMANN U, 2005, PHYS REV E 1, V71, ARTN 051904;FLIERL G, 1999, J THEOR BIOL, V196, P397;GREGOIRE G, 2001, PHYS REV E 1, V64, ARTN 011902;GREGOIRE G, 2003, PHYSICA D, V181, P157, DOI;10.1016/S0167-2789(03)00102-7;GREGOIRE G, 2004, PHYS REV LETT, V92, ARTN 025702;GRUNBAUM D, 1994, LECT NOTES BIOMATH, V100, P296;HOSONO Y, 1989, SIAM J MATH ANAL, V20, P845;IKEDA T, 1984, P JPN ACAD A-MATH, V60, P46;IKEDA T, 1985, JPN J APPL MATH, V2, P111;IKEDA T, 1987, JPN J APPL MATH, V4, P73;JOFFE SR, 1997, DESERT LOCUST TECHNI;KAWASAKI K, 1978, MATH SCI, V16, P47;KENNEDY JS, 1951, PHILOS T ROY SOC B, V235, P163;KOMIN N, 2004, FLUCT NOISE LETT, V4, L151;LEVINE H, 2001, PHYS REV E 2, V63, ARTN 017101;MIMURA M, 1982, ADV BIOPHYS, V15, P19;MOGILNER A, 1999, J MATH BIOL, V38, P534;MOGILNER A, 2003, J MATH BIOL, V47, P353, DOI 10.1007/s00285-003-0209-7;OKUBO A, 1977, B JPN SOC SCI FISH, V9, P1369;OKUBO A, 1980, DIFFUSION ECOLOGICAL;OKUBO A, 2001, INTERD APPL, V14, P197;PARRISH JK, 2002, BIOL BULL, V202, P296;PASSO RD, 1984, J MATH BIO, V20, P103;RAINEY RC, 1989, MIGRATION METEOROLOG;RUELLE D, 1969, STAT MECH RIGOROUS R;SAKAI S, 1973, BIOPHYSICS-USSR, V13, P82;SATSUMA J, 1985, J PHYS SOC JPN, V54, P894;SCHIMANSKYGEIER L, 2005, ACTA PHYS POL B, V36, P1757;SCHWEITZER F, 2001, PHYS REV E 1, V64, ARTN 021110;SIMHA R, 2002, PHYS REV LETT, V89, P4, UNSP 028181.1;SIMHA RA, 2002, PHYSICA A, V306, P262;SIMPSON SJ, 2001, P NATL ACAD SCI USA, V98, P3895;SUZUKI R, 1973, BIOPHYSICS-USSR, V13, P281;TILMAN D, 1998, SPATIAL ECOLOGY ROLE;TONER J, 1998, PHYS REV E, V58, P4828;TOPAZ CM, 2004, SIAM J APPL MATH, V65, P152, DOI;10.1137/S0036139903437424;TOPAZ CM, 2006, B MATH BIOL, V68, P1601, DOI 10.1007/s11538-006-9088-6;TYUTYUNOV Y, 2004, AM NAT, V164, P722;UVAROV B, 1977, GRASSHOPPERS LOCUSTS, V2;VICSEK T, 1995, PHYS REV LETT, V75, P1226}, Date = {APR}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Document-Type = {Article}, E-Mail-Address = {ctopaz@macalester.edu}, Isi = {ISI:000255258800009}, Isi-Document-Delivery-Number = {292ID}, Iso-Source-Abbreviation = {Eur. Phys. J.-Spec. Top.}, Issn = {1951-6355}, Journal = {Euro. Phys. J. ST}, Keywords = {DEGENERATE DIFFUSION-EQUATIONS; BROWNIAN PARTICLES; AGGREGATION; INDIVIDUALS; DYNAMICS; PATTERNS; BEHAVIOR; SCHOOLS; SYSTEMS; MOTION}, Language = {English}, Month = {Apr}, Page-Count = {17}, Pages = {93--109}, Publication-Type = {J}, Publisher = {EDP SCIENCES S A}, Publisher-Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Reprint-Address = {Topaz, CM, Macalester Coll, Dept Math & Comp Sci, St Paul, MN 55105 USA.}, Source = {EUR PHYS J-SPEC TOP}, Subject-Category = {Physics, Multidisciplinary}, Times-Cited = {0}, Title = {A model for rolling swarms of locusts}, Volume = {157}, Year = {2008}, Bdsk-File-1 = {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}} @phdthesis{Top2002, Author = {Topaz, C. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, School = {Northwestern University}, Title = {Pattern Formation in Two-Frequency Forced {F}araday Waves}, Year = {2002}, Bdsk-File-1 = {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}} @article{TopBer2004, Author = {Topaz, C. 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M. and Porter, J. and Silber, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2011-06-16 08:12:23 -0500}, Journal = {Phys. Rev. E}, Month = {Dec.}, Number = {6}, Pages = {066206}, Title = {Multi-Frequency Control of {F}araday Wave Patterns}, Volume = {70}, Year = {2004}} @article{TopSil2002, Author = {Topaz, C. M. and Silber, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Nov.}, Number = {1-4}, Pages = {1-29}, Title = {Resonances and Superlattice Pattern Stabilization in Two-Frequency Forced {F}araday Waves}, Volume = {172}, Year = {2002}, Bdsk-File-1 = {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}} @book{Tre2000, Address = {Philadelphia}, Author = {Trefethen, L. N.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Society for Industrial and Applied Mathematics}, Series = {Software, Environments, Tools}, Title = {Spectral Methods in {MATLAB}}, Year = {2000}} @article{TriHae1998, Author = {Trillo, S. and Haelterman, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Opt. Lett.}, Month = {Oct.}, Number = {19}, Pages = {1514-1516}, Title = {Excitation and Bistability of Self-Trapped Signal Beams in Optical Parametric Oscillators}, Volume = {23}, Year = {1998}, Bdsk-File-1 = {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}} @article{TriHaeShe1997, Author = {Trillo, S. and Haelterman, M. and Sheppard, A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Opt. Lett.}, Month = {Jul.}, Number = {13}, Pages = {970-972}, Title = {Stable Topological Spatial Solitons in Optical Parametric Oscillators}, Volume = {22}, Year = {1997}, Bdsk-File-1 = {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}} @article{TseRucHoy2000, Author = {Tse, D. P. and Rucklidge, A. M. and Hoyle, R. B. and Silber, M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Nov.}, Number = {1-4}, Pages = {367-387}, Title = {Spatial Period-Multiplying Instabilities of Hexagonal {F}araday Waves}, Volume = {146}, Year = {2000}, Bdsk-File-1 = {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}} @article{TsiLevAra1995, Author = {Tsimring, L. and Levine, H. and Aranson, I. and Ben-Jacob, E. and Cohen, I. and Shochet, O. and Reynolds, W. N.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Aug.}, Number = {9}, Pages = {1859-1862}, Title = {Aggregation Patterns in Stressed Bacteria}, Volume = {75}, Year = {1995}, Bdsk-File-1 = {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}} @article{Tsi1995, Author = {Tsimring, L. S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {May}, Number = {21}, Pages = {4201-4204}, Title = {Penta-Hepta Defect Motion in Hexagonal Patterns}, Volume = {74}, Year = {1995}, Bdsk-File-1 = {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}} @article{Tsi1996, Author = {Tsimring, L. S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica D}, Month = {Jan.}, Number = {3-4}, Pages = {368-380}, Title = {Dynamics of Penta-Hepta Defects in Hexagonal Patterns}, Volume = {89}, Year = {1996}} @book{Tur1998, Author = {Turchin, Peter}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Edition = {1}, Month = {3}, Publisher = {Sinauer Associates}, Title = {Quantitative Analysis of Movement: Measuring and Modeling Population Redistribution in Animals and Plants}, Totalpages = {396}, Year = {1998}} @article{Tur1952, Author = {Turing, A. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phil. Trans. R. Soc. Lond. B}, Month = {Aug.}, Number = {641}, Pages = {37-72}, Title = {The Chemical Basis of Morphogenesis}, Volume = {237}, Year = {1952}, Bdsk-File-1 = {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}} @article{Tys1973, Author = {Tyson, J. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Chem. Phys.}, Month = {May.}, Number = {9}, Pages = {3919-3930}, Title = {Some further studies of nonlinear oscillations in chemical systems}, Volume = {58}, Year = {1973}} @article{TyuSenArd2004, Author = {Tyutyunov, Y. and Senina, I. and Arditi, R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Am. Nat.}, Month = {Dec.}, Number = {6}, Pages = {722-735}, Title = {Clustering Due to Acceleration in the Response to Population Gradient: A Simple Self-Organizational Model}, Volume = {164}, Year = {2004}, Bdsk-File-1 = {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}} @article{UmbMelSwi1996, Author = {Umbanhowar, P. B. and Melo, F. and Swinney, H. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Nature}, Month = {Aug.}, Number = {6594}, Pages = {793-796}, Title = {Localized Excitations in a Vertically Vibrated Granular Layer}, Volume = {382}, Year = {1996}} @book{Uva1966, Address = {London, UK}, Author = {Uvarov, B.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Cambridge University Press}, Title = {Grasshoppers and Locusts}, Volume = {1}, Year = {1966}} @book{Uva1977, Address = {London, UK}, Author = {Uvarov, B.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Cambridge University Press}, Title = {Grasshoppers and Locusts}, Volume = {2}, Year = {1977}} @unpublished{Val2002, Author = {de Valc{\'{a}}rcel, G. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {{F}araday Patterns in {B}ose-{E}instein Condensates: Amplitude Equation for Rolls in the Parametrically Driven, Damped {G}ross-{P}itaevskii Equation}, Year = {2002}, Bdsk-File-1 = {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}} @unpublished{Val20020, Author = {de Valc{\'{a}}rcel, G. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Complex {G}inzburg-{L}andau Equation for Self-Oscillatory Systems Under Amplitude Modulated Forcing in a 1:1 Resonance}, Year = {2002}, Bdsk-File-1 = {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}} @article{VarAraBar1999, Author = {Varea, C. and Arag{\'{o}}n, J. L. and Barrio, R. A.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Oct.}, Number = {4}, Pages = {4588-4592}, Title = {{T}uring Patterns on a Sphere}, Volume = {60}, Year = {1999}, Bdsk-File-1 = {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}} @unpublished{Ver2002, Author = {Vera, F.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Understanding the Complex Patterns of Snow Crystals}, Year = {2002}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAeIAAAAAAeIAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugdWZXIyMDAyAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALa+ZxsMuMlBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDdIIAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBnTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAVmVyMjAwMgAADgAQAAcAVgBlAHIAMgAwADAAMgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFFVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1ZlcjIwMDIAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEEkuLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9WZXIyMDAy0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAoYCiAKNApYCoQKlArMCugLDAw8DFAMXAyQDKQAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAAM7}} @article{VicCziFar1999, Author = {Vicsek, T. and Czir{\'{o}}k, A. and Farkas, I. J. and Helbing, D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Physica A}, Month = {Dec.}, Number = {1-2}, Pages = {182-189}, Title = {Application of Statistical Mechanics to Collective Motion in Biology}, Volume = {274}, Year = {1999}, Bdsk-File-1 = {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}} @article{WagMulKno1999, Author = {Wagner, C. and M{\"{u}}ller, H. W. and Knorr, K.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Jul.}, Number = {2}, Pages = {308-311}, Title = {{F}araday Waves on a Viscoelastic Liquid}, Volume = {83}, Year = {1999}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1XYWdNdWxLbm8xOTk5AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALaqZxsMuWFBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDdKgAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAV2FnTXVsS25vMTk5OQAADgAcAA0AVwBhAGcATQB1AGwASwBuAG8AMQA5ADkAOQAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1dhZ011bEtubzE5OTkAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9XYWdNdWxLbm8xOTk50hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{WagMulKno2000, Author = {Wagner, C. and M{\"{u}}ller, H. W. and Knorr, K.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Jul.}, Number = {1}, Pages = {R33-R36}, Title = {Crossover from a Square to a Hexagonal Pattern in {F}araday Surface Waves}, Volume = {62}, Year = {2000}, Bdsk-File-1 = {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}} @unpublished{WagMulKno2001, Author = {Wagner, C. and M{\"{u}}ller, H. W. and Knorr, K.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Pattern Formation at the Bicritical Point of the {F}araday Instability}, Year = {2001}, Bdsk-File-1 = {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}} @book{Wal1997, Address = {New York}, Author = {Walgraef, D.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Springer-Verlag}, Series = {Partially Ordered Systems}, Title = {Spatio-Temporal Pattern Formation}, Year = {1997}} @article{Wal1972, Author = {Waloff, Z.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Anim. Behav.}, Month = {May}, Pages = {367-372}, Title = {Observations on the Airspeeds of Freely Flying Locusts}, Volume = {20}, Year = {1972}, Bdsk-File-1 = {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}} @article{WalRai1951, Author = {Waloff, Z. and Rainey, R. C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Anti-Locust Bull.}, Number = {9}, Pages = {1-50}, Title = {Field Studies on Factors Affecting the Displacements of Desert Locust Swarms in Eastern {A}frica}, Year = {1951}} @article{WatStr1998, Author = {Watts, D. J. and Strogatz, S. H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Nature}, Month = {Jun.}, Number = {6684}, Pages = {440-442}, Title = {Collective Dynamics of 'Small-World' Networks}, Volume = {393}, Year = {1998}, Bdsk-File-1 = {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}} @article{Way1967, Author = {Way, M. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {An. Appl. Biol.}, Pages = {175-188}, Title = {The Nature and Causes of Annual Fluctuations in Numbers of \emph{{A}phis fabae} {S}cop. on Field Beans (\emph{{V}icia faba})}, Volume = {59}, Year = {1967}} @article{WayBan1967, Author = {Way, M. J. and Banks, C.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {An. Appl. Biol.}, Pages = {189-205}, Title = {Intra-Specific Mechanisms in Relation to the Natural Regulation of Numbers of \emph{{A}phis fabae}}, Volume = {59}, Year = {1967}} @inproceedings{WayCam1970, Author = {Way, M. J. and Cammell, M.}, Booktitle = {Animal Populations in Relation to their Food Resources}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Editor = {Watson, A.}, Organization = {British Ecological Society}, Pages = {229-247}, Publisher = {Blackwell Scientific}, Title = {Aggregation Behavior in Relation to Food Utilization by Aphids}, Year = {1970}} @book{WeiWil1977, Address = {Oxford, UK}, Author = {Weiland, J. and Wilhelmsson, H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Pergamon Press}, Title = {Coherent Non-Linear Interaction of Waves in Plasmas}, Year = {1977}} @article{WerWagPap2001, Author = {Wernet, A. and Wagner, C. and Papathanassiou, D. and M{\"{u}}ller, H. W. and Knorr, K.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Mar.}, Pages = {036305.1-036305.8}, Title = {Amplitude Measurements of {F}araday Waves}, Volume = {63}, Year = {2001}, Bdsk-File-1 = {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}} @book{Whi1974, Address = {New York}, Author = {Whitham, G. B.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Wiley}, Title = {Linear and Nonlinear Waves}, Year = {1974}} @article{WiKimPak2001, Author = {Wi, H. S. and Kim, K. and Pak, H. K.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Kor. Phys. Soc.}, Month = {May}, Number = {5}, Pages = {573-576}, Title = {Pattern Selection on Granular Layers under Multiple Frequency Forcing}, Volume = {38}, Year = {2001}, Bdsk-File-1 = {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}} @book{Wig1990, Address = {New York}, Author = {Wiggins, S.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Publisher = {Springer-Verlag}, Series = {Texts in Applied Mathematics}, Title = {Introduction to Applied Nonlinear Dynamical Systems and Chaos}, Volume = {2}, Year = {1990}} @techreport{WijGumGra2002, Author = {Wijkstr{\"{o}}m, U. and Gumy, A. and Grainger, R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Institution = {United Nations Food and Agriculture Organization}, Note = {Available at http://www.fao.org/docrep/005/y7300e/y7300e00.htm}, Title = {The State of World Fisheries and Aquaculture}, Year = {2002}, Bdsk-File-1 = {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}} @article{WilThoBla2002, Author = {Wilson, K. and Thomas, M. B. and Blanford, S. and Doggett, M. and Simpson, S. J. and Moore, S. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Proc. Natl. Acad. 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P. and Bernoff, A. J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Stud. Appl. Math.}, Month = {Feb.}, Number = {2}, Pages = {153-193}, Title = {Self-Similar Asymptotics for Linear and Nonlinear Diffusion Equations}, Volume = {100}, Year = {1998}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAewAAAAAAewAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugpXaXRCZXIxOTk4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALbwexsMuVlBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDdKYAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBqTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAV2l0QmVyMTk5OAAOABYACgBXAGkAdABCAGUAcgAxADkAOQA4AA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAVFVzZXJzL2NoYWQvRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvV2l0QmVyMTk5OAATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBMLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvV2l0QmVyMTk5ONIcHSQloiUhXE5TRGljdGlvbmFyeRIAAYagXxAPTlNLZXllZEFyY2hpdmVyAAgAEQAWAB8AKAAyADUAOgA8AEUASwBSAF0AZQBsAG8AcQBzAHYAeAB6AHwAhgCTAJgAoAKQApIClwKgAqsCrwK9AsQCzQMcAyEDJAMxAzYAAAAAAAACAQAAAAAAAAAoAAAAAAAAAAAAAAAAAAADSA==}} @article{WolSte2000, Author = {Wollkind, D. J. and Stephenson, L. E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {SIAM J. Appl. 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M. and Epstein, I. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2010-01-29 20:31:25 -0600}, Journal = {Phys. Rev. Lett.}, Month = {May 14}, Number = {19}, Pages = {198303}, Title = {Stable squares and other oscillatory {T}uring patterns in a reaction-diffusion model}, Volume = {92}, Year = {2004}} @unpublished{YanDolZha2001, Author = {Yang, L. and Dolnik, M. and Zhabotinsky, A. M. and Epstein, I. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Note = {Preprint}, Title = {Pattern Formation Arising from Interactions between {T}uring and Wave Instabilities}, Year = {2001}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1ZYW5Eb2xaaGEyMDAxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALcx7xsMuYlBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDdLIAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAWWFuRG9sWmhhMjAwMQAADgAcAA0AWQBhAG4ARABvAGwAWgBoAGEAMgAwADAAMQAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1lhbkRvbFpoYTIwMDEAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9ZYW5Eb2xaaGEyMDAx0hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{YanDolZha2002, Author = {Yang, L. and Dolnik, M. and Zhabotinsky, A. M. and Epstein, I. R.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2011-06-03 09:42:42 -0500}, Journal = {Phys. Rev. Lett.}, Keywords = {two layer turing pattern}, Month = {May}, Number = {20}, Pages = {208303}, Title = {Spatial Resonances and Superposition Patterns in a Reaction-Diffusion Model}, Volume = {88}, Year = {2002}, Bdsk-File-1 = {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}} @article{YocElpHag2005, Author = {Yochelis, A. and Elphick, C. and Hagberg, A. and Meron, E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2010-02-18 10:24:12 -0600}, Journal = {Europhys. Lett.}, Number = {2}, Pages = {170 - 176}, Title = {Frequency locking in extended systems: The Impact of a {T}uring Mode}, Volume = {69}, Year = {2005}, Bdsk-File-1 = {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}} @article{Yud1963, Author = {Yudovich, V. I.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Zh. Vychisl. Mat. Mat. Fiz.}, Pages = {1032-1066}, Title = {Non-Stationary Flows of an Ideal Incompressible Fluid}, Volume = {3}, Year = {1963}} @article{ZabHugRob1979, Author = {Zabusky, N. J. and Hughes, M. H. and Roberts, K. V.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Comput. Phys.}, Number = {1}, Pages = {96-106}, Title = {Contour Dynamics for the {E}uler Equations in Two Dimensions}, Volume = {30}, Year = {1979}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfoAAAAAAfoAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1Lug1aYWJIdWdSb2IxOTc5AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALb2ywiXLrlBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMImEf4AAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBtTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAWmFiSHVnUm9iMTk3OQAADgAcAA0AWgBhAGIASAB1AGcAUgBvAGIAMQA5ADcAOQAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFdVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1phYkh1Z1JvYjE5NzkAABMAAS8AABUAAgAL//8AAIAF0hwdHh9YJGNsYXNzZXNaJGNsYXNzbmFtZaMfICFdTlNNdXRhYmxlRGF0YVZOU0RhdGFYTlNPYmplY3RfEE8uLi9Eb2N1bWVudHMvRHJvcGJveC9Qcm9mZXNzaW9uYWwvcmVzZWFyY2gvbGlicmFyeS9yZXBvc2l0b3J5L0FsbC9aYWJIdWdSb2IxOTc50hwdJCWiJSFcTlNEaWN0aW9uYXJ5EgABhqBfEA9OU0tleWVkQXJjaGl2ZXIACAARABYAHwAoADIANQA6ADwARQBLAFIAXQBlAGwAbwBxAHMAdgB4AHoAfACGAJMAmACgAp4CoAKlAq4CuQK9AssC0gLbAy0DMgM1A0IDRwAAAAAAAAIBAAAAAAAAACgAAAAAAAAAAAAAAAAAAANZ}} @article{ZaiZha1970, Author = {Zaikin, A. N. and Zhabotinsky, A. M.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Nature}, Number = {5232}, Pages = {535-537}, Title = {Concentration Wave Propagation in 2-Dimensional Liquid-Phase Self-Oscillating System}, Volume = {225}, Year = {1970}} @article{Zak1968, Author = {Zakharov, V. E.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. Appl. Mech. Tech. Phys.}, Pages = {190-194}, Title = {Stability of Periodic Waves of Finite Amplitude on the Surface of Deep Fluid}, Volume = {2}, Year = {1968}} @article{ZelBar1958, Author = {Zeldovich, Y. B. and Barenblatt, G. I.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Dokl. Akad. Nauk SSR}, Pages = {671-674}, Title = {Asymptotic Properties of Self-Preserving Solutions of Equations of Unsteady Motion of Gas through Porous Media}, Volume = {118}, Year = {1958}} @article{ZhaVin1997, Author = {Zhang, W. and Vi{\~{n}}als, J.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {J. 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Rev. Lett.}, Month = {Dec.}, Number = {24}, Pages = {5318-5321}, Title = {Phase Slips and Phase Synchronization of Coupled Oscillators}, Volume = {81}, Year = {1998}, Bdsk-File-1 = {YnBsaXN0MDDUAQIDBAUIJidUJHRvcFgkb2JqZWN0c1gkdmVyc2lvblkkYXJjaGl2ZXLRBgdUcm9vdIABqAkKFRYXGyIjVSRudWxs0wsMDQ4RFFpOUy5vYmplY3RzV05TLmtleXNWJGNsYXNzog8QgASABqISE4ACgAOAB1lhbGlhc0RhdGFccmVsYXRpdmVQYXRo0hgNGRpXTlMuZGF0YU8RAfIAAAAAAfIAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAMgGb8tIKwAAAC1LugtaaGVIdUh1MTk5OAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALa5+xsMuZlBERiBDQVJPAAEACAAACSAAAAAAAAAAAAAAAAAAAAADQWxsAAAQAAgAAMgGthsAAAARAAgAAMbDdLYAAAABACQALUu6AC1LuQAtScYALUW1AC1FsQAtRakACEpLAAhKPgAAkj8AAgBrTWFjaW50b3NoIEhEOlVzZXJzOgBjaGFkOgBEb2N1bWVudHM6AERyb3Bib3g6AFByb2Zlc3Npb25hbDoAUmVzZWFyY2g6AGxpYnJhcnk6AHJlcG9zaXRvcnk6AEFsbDoAWmhlSHVIdTE5OTgAAA4AGAALAFoAaABlAEgAdQBIAHUAMQA5ADkAOAAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFVVc2Vycy9jaGFkL0RvY3VtZW50cy9Ecm9wYm94L1Byb2Zlc3Npb25hbC9yZXNlYXJjaC9saWJyYXJ5L3JlcG9zaXRvcnkvQWxsL1poZUh1SHUxOTk4AAATAAEvAAAVAAIAC///AACABdIcHR4fWCRjbGFzc2VzWiRjbGFzc25hbWWjHyAhXU5TTXV0YWJsZURhdGFWTlNEYXRhWE5TT2JqZWN0XxBNLi4vRG9jdW1lbnRzL0Ryb3Bib3gvUHJvZmVzc2lvbmFsL3Jlc2VhcmNoL2xpYnJhcnkvcmVwb3NpdG9yeS9BbGwvWmhlSHVIdTE5OTjSHB0kJaIlIVxOU0RpY3Rpb25hcnkSAAGGoF8QD05TS2V5ZWRBcmNoaXZlcgAIABEAFgAfACgAMgA1ADoAPABFAEsAUgBdAGUAbABvAHEAcwB2AHgAegB8AIYAkwCYAKAClgKYAp0CpgKxArUCwwLKAtMDIwMoAysDOAM9AAAAAAAAAgEAAAAAAAAAKAAAAAAAAAAAAAAAAAAAA08=}} @article{ZhoBer2000, Author = {Zhornitskaya, L. and Bertozzi, A. L.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {SIAM J. Numer. Anal.}, Number = {2}, Pages = {523-555}, Title = {Positivity-Preserving Numerical Schemes for Lubrication-Type Equations}, Volume = {37}, Year = {2000}, Bdsk-File-1 = {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}} @article{ZhoGuoOuy2002, Author = {Zhou, C. and Guo, H. and Ouyang, Q.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Phys. Rev. E}, Month = {Mar.}, Number = {3}, Pages = {036118.1-036118.5}, Title = {Experimental Study of the Dimensionality of Black-Eye Patterns}, Volume = {65}, Year = {2002}, Bdsk-File-1 = {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}} @article{ZouRan1998, Author = {Zounes, R. S. and Rand, R. H.}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {SIAM J. Appl. Math}, Month = {Aug.}, Number = {4}, Pages = {1094-1115}, Title = {Transition Curves for the Quasi-Periodic {M}athieu Equation}, Volume = {58}, Year = {1998}, Bdsk-File-1 = {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}} @book{199900, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Editor = {Bransford, J. D. and Brown, A. L. and Cocking, R. R.}, Publisher = {National Academy Press}, Title = {How People Learn: Brain, Mind, Experience and School}, Year = {1999}} @proceedings{AltHof1990, Address = {Berlin}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2010-03-21 13:14:06 -0500}, Editor = {Alt, W. and Hoffman, G.}, Number = {89}, Publisher = {Springer-Verlag}, Series = {Lecture Notes in Biomathematics}, Title = {Biological Motion: Proceedings of a Workshop held in K{\"{o}}nigswinter, Germany, March 16 - 19, 1989}, Year = {1990}} @techreport{200400, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Institution = {The Center for Biofilm Engineering, University of Montana}, Note = {Available at http://www.erc.montana.edu/CBEssentials-SW/bf-basics-99/default.htm}, Title = {Biofilm Basics}, Year = {2004}} @book{198500, Address = {New York}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Editor = {Field, R. J. and Burger, M.}, Publisher = {John Wiley \& Sons}, Title = {Oscillations and Traveling Waves in Chemical Systems}, Year = {1985}} @book{197800, Address = {New York}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Editor = {Mitchell, R.}, Publisher = {Wiley}, Title = {Water Pollution Microbiology}, Year = {1978}} @book{OkuLev2001, Address = {New York}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-10-13 13:21:17 -0500}, Edition = {Second}, Editor = {Okubo, A. and Levin, S. A.}, Publisher = {Springer}, Series = {Interdisciplinary Applied Mathematics: Mathematical Biology}, Title = {Diffusion and Ecological Problems}, Volume = {14}, Year = {2001}} @book{ParHam1997, Address = {Cambridge, UK}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-10-13 13:20:57 -0500}, Editor = {Parrish, J. K. and Hamner, W. M.}, Publisher = {Cambridge University Press}, Title = {Animal Groups in Three Dimensions}, Year = {1997}} @book{TilKar1998, Address = {Princeton, NJ}, Date-Added = {2009-09-10 08:39:48 -0500}, Date-Modified = {2009-10-26 15:22:26 -0500}, Editor = {Tilman, D. and Kareiva, P.}, Publisher = {Princeton University Press}, Title = {Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions}, Year = {1998}} @article{HigTop2009, Author = {Higdon, J. A. and Topaz, C. M.}, Date-Added = {2009-08-07 12:19:12 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {College Teaching}, Number = {2}, Pages = {105-109}, Title = {Blogs and Wikis as Instructional Tools: {A} Social Software Adaptation of {J}ust-in-{T}ime {T}eaching}, Volume = {59}, Year = {2009}, Bdsk-File-1 = {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}} @techreport{200000, Date-Added = {2009-02-11 09:43:16 -0600}, Date-Modified = {2009-09-11 21:29:58 -0500}, Institution = {Integrated Pest Management Center}, Title = {Crop Profile for Peas (Dry) in {W}ashington}, Year = {2000}} @article{Str1967, Abstract = {First and second instar pea aphid nymphs were allowed to respond in multiple choice test chambers having five parafilm feeding stations, each of which contained 20% sucrose solution. Under light conditions, the aphids assumed a negative bionomial distribution. This same phenomenon occurred in darkness, but with a lesser degree of aggregation. The ability to see other aphids was not a prerequisite to aggregate formation. The formation of aggregates on certain stations was not enhanced by aphid aggregations that had previously occurred but were removed from those stations. Aggregate formation was not in response to a humidity gradient.}, Annote = {This article discusses the aggregation of pea aphids. It should work out to play a large role in what we do. They have a couple experiments using artificial feeding senarios, with the feeding station design included, so we could take advantage of the design. They found that they aggregate better in the light than in the dark. Humidity did no impact aggregation and heat had an adverse impact. Previous aphid presence did not matter either. They also did a decoy experiment, in which the aphids did not go to the decoys, which they sadly do not rectify, since it seems to run contrary to the rest.}, Author = {Strong, Frank E.}, Date-Added = {2009-02-11 09:40:06 -0600}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {Ent. Exp. \& Appl.}, Keywords = {pea aphids}, Month = {July}, Number = {3-4}, Pages = {463-475}, Title = {Aggregation Behavior of Pea Aphids}, Volume = {10}, Year = {1967}, Bdsk-File-1 = {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}} @article{GueLevRub1996, Abstract = {The dynamic behavior of small herds is investigated by means of simulations of two-dimensional discrete stochastic models. An individual-based approach is used to relate collective behavior to individual decisions. In our model, the motion of an individual in a herd is assumed to be the combined result of both density-independent and density-dependent decisions, in the latter case based on the influence of surrounding neighbors; assumed decision rules are hierarchical, balancing short-range repulsion against long-range attraction. The probability of fragmentation of the model herd depends on parameter values. We explore the variety and characteristics of spatial patterns that develop during migration, for herds that are homogeneous or heterogeneous regarding intrinsic walking speeds. Group integrity can be maintained even in mixed populations, but fragmentation results for these more easily than for a homogeneous herd. Observations of natural populations suggest that animals move away from individuals that intrude too closely into their environment, but are attracted to individuals at a distance. Between these extremes, there appears to be a neutral zone, within which other individuals engender no response. We explore the importance of this neutral zone, and offer evolutionary interpretations. In particular, the neutral zone, if not too large, permits the individual to remain in contact with the herd, while reducing the frequency with which acceleration or deceleration must be undertaken. This offers obvious energetic benefits. (C) 1996 Academic Press Limited}, Address = {24-28 OVAL RD, LONDON, ENGLAND NW1 7DX}, Author = {Gueron, S. and Levin, S.A. and Rubenstein, D.I.}, Date = {SEP 7 1996}, Date-Added = {2008-07-31 14:07:18 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Isi = {A1996VL68800005}, Isi-Recid = {97728150}, Isi-Ref-Recids = {26321811 86005252 47064145 97728151 65192627 38140761 80407062 1906579 89604840 89793865 91653521 86005254 70196984 86005251 91653519 19816060 1809276 79930028 44820352 3927014 82815177 97728152 35301819 97728153 97728154 20407851 66197085 66052401 613977 71141626 45883945 97728155 62124144 39413279 44632499 86005255 31976941 76359007 49618472 76359006 44146758}, Journal = {Journal of Theoretical Biology}, Month = {SEP 7}, Number = {1}, Pages = {85-98}, Publisher = {ACADEMIC PRESS LTD}, Timescited = {59}, Title = {The dynamics of herds: From individuals to aggregations}, Volume = {182}, Year = {1996}, Bdsk-File-1 = {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}, Bdsk-Url-1 = {http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS&DestLinkType=FullRecord;KeyUT=A1996VL68800005}} @article{LevTopBer2009, Author = {Leverentz, A. J. and Topaz, C. M. and Bernoff, A. J.}, Date-Added = {2008-06-24 16:03:58 -0500}, Date-Modified = {2009-09-11 21:29:58 -0500}, Journal = {SIAM J. Appl. Dyn. Sys.}, Number = {3}, Pages = {880-908}, Title = {Asymptotic Dynamics of Attractive-Repulsive Swarms}, Volume = {8}, Year = {2009}, Bdsk-File-1 = {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}} @unpublished{GoeAddTop2009, Author = {Goetzke, G. and Addona, V. and Topaz, C. M.}, Date-Added = {2008-06-12 14:23:24 -0500}, Date-Modified = {2009-10-12 16:02:20 -0500}, Note = {Preprint}, Title = {Tuberculosis Screening for International Students at a {M}idwestern Liberal Arts College}, Year = {2009}} @article{BarAleZem2002, Author = {Barashenkov, I. V. and Alexeeva, N. V. and Zemlyanaya, E. V.}, Date-Added = {2008-06-05 18:58:32 -0500}, Date-Modified = {2009-09-11 21:29:57 -0500}, Journal = {Phys. Rev. Lett.}, Month = {Sep.}, Number = {10}, Pages = {104101.1-104101.4}, Title = {Two- and Three- Dimensional Oscillons in Nonlinear Faraday Resonance}, Volume = {89}, Year = {2002}, Bdsk-File-1 = {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}} @article{EftVriLew2007, Author = {Eftimie, R. and de Vries, G. and Lewis, M. A.}, Date-Added = {2008-06-05 18:58:32 -0500}, Date-Modified = {2009-11-12 15:51:37 -0600}, Journal = {Proc. Natl. Acad. Sci.}, Month = {April}, Number = {17}, Pages = {6974-6979}, Title = {Complex spatial group patters result from different animal communication mechanisms}, Volume = {104}, Year = {2007}, Bdsk-File-1 = {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}} @comment{BibDesk Static Groups{ group name Chemotaxis keys KelSeg1971,Rit2004,KelSeg1970,NagIke1991,HilPot2004,KanKolWar2007,Hor2003,Kow2005,HilPai2009 group name Locusts keys RogMatDes2003,TopBerLog2008,Jof1997,EdeWatGru1998,AppHei1999,AnsRogOtt2009,WilThoBla2002,PenSim2009,SkaPopRof1990,WalRai1951,Alb1967,DesColSim2000,DesSim2000,BuhSumCou2006,RoeSim1994,Wal1972,SimDesHag2001,BraDjiFay2006,SimMcCHag1999,Uva1977,HolChe1996,Ell1953,Bel2005,Ken1951,Rai1989,ColDesSim1998,Uva1966 group name Maria keys Alb1967,BerLau2007,TopBer2004,VicCziBen1995,Ken1951,EftVriLew20070,ParMar2005,BodVel2005,BodVel2006,LevTopBer2009,Bre1954 group name MT_2011 keys JiLi2005,BerDolYan2004,ZhoZha2002,LiuWenLee1997,JiLi2006,ZhoMu2010,YanEps2004,Ngo2005,YanDolZha2002,VolRom1995,EpsBerDol2008,LiuPan2010,ZhoZha2001,KytKasBar2007,YanEps2003,NakMik2010,Sil2000 }}