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Talk Abstract
Bifurcations, Computations, and Open questions in Excitable Media

Institute for Mathematics and Its Applications
Dwight Barkley, University of Warwick

The dynamics of spiral waves in excitable media has led to interesting developments in bifurcation theory for systems with Euclidean symmetry. I will review the relevant computational studies and show why Euclidean symmetry is important for spiral waves. I will demonstrate a fast simulation code (EZ-Scroll) for real-time interactive simulations of waves in three dimensions. Finally, I will describe two intriguing open mathematical questions motivated by the dynamics of spiral and scroll waves.

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