10:00 AM-12:00 PM Ballroom III - Level B
Many physical systems exhibit dynamics on multiple time scales and/or multiple length scales. Examples arise in nonlinear fiber optics, multi-degree-of-freedom Hamiltonian systems, chemical reactions, fluid dynamics, and neurophysiology. In this minisymposium, the speakers will address important current nonlinear dynamics questions in problems from several of these areas. For systems modeled by reaction diffusion equations, spatial patterns evolving in complex time-dependent ways will be discussed. In addition, a number of speakers will focus on the mathematical theory and applications of the existence and stability of time asymptotic stationary patterns. These states include traveling waves, their concatenations, and spatially periodic states. In those systems modeled by Hamilton's equations, speakers will focus on the existence and stability of a diverse array of multiple pulse orbits and where they arise in applications. Mathematically, the methods used in these studies range from variational techniques and matched asymptotic expansions to analytical and geometrical methods in stability theory and singular perturbation theory. Theoretical tools from complex dynamics and electromagnetism theory also play significant roles.
Organizers: Arjen Doelman, University of Utrecht, The Netherlands; Tasso Kaper, Boston University; and Todd Kapitula, University of New Mexico, Albuquerque
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