10:00 AM-12:00 PM
Wasatch A & B - Level B
Spatially discrete dynamical systems are either infinite-dimensional systems which possess a discrete spatial structure, generally modeled on a regular lattice, or finite dimensional systems which could be cellular neural networks (CNN) or cellular automata. The time variable can be either discrete or continuous. Such systems arise as models in a wide variety of applications, including image processing, material science, and biology. They moreover represent a new direction in mathematics, giving rise to challenging mathematical problems of pattern formation, spatial chaos, traveling waves, and synchronization. The talks in mathematical theory and applications on similar problems will clearly demonstrate the continuity between applications, scientific computing, and mathematics.
Organizers: John Mallet-Paret, Brown University; and Shui-Nee Chow, Georgia Institute of Technology
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