Dresden 2014 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 35: Reaction-Diffusion Systems

DY 35.2: Vortrag

Donnerstag, 3. April 2014, 15:15–15:30, HÜL 186

A continuous transition between two limits of spiral wave dynamics in an excitable medium — •Vladimir Zykov and Eberhard Bodenschatz — Max Planck Institute for Dynamics and Self-Organization, D-37077 Goettingen, Germany

By application of a free-boundary approach we prove the existence of a continuous transition and a full spectrum of solutions between the two known limits of spiral wave dynamics corresponding to trigger-trigger and trigger-phase waves. We identify a control parameter whose essential importance was not realized in earlier studies of spatio-temporal pattern selection in excitable media. The predictions of the free-boundary approach are in good quantitative agreement with results from numerical reaction-diffusion simulations performed on the modified Barkley model.