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IMA Special Workshop
Analysis and Computation of Coherent Structures
May 28, 2013

Grégory Faye University of Minnesota, Twin Cities
David J.B. Lloyd University of Surrey

Theoretical and computational aspects of applied mathematical research on coherent structures are relevant to subjects as diverse as ecology, chemistry, material sciences, sociology, pattern forming systems, and neurosciences, where remarkable agreement between theory and experiments can be claimed in many of these fields. The aim of this one-day workshop is to present an overview of some of the techniques, such as spatial dynamics, normal forms, geometric singular perturbation theory and numerical continuation, developed in the study of coherent structures in reaction-diffusion equations, neural field equations, and the prototypal Swift-Hohenberg equation. The program will consist of tutorial presentations and research talks on subjects ranging from mathematical and computational analysis to concrete applications.