Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 13: Cardiac dynamics and reaction-diffusion systems

DY 13.4: Vortrag

Dienstag, 26. Februar 2008, 12:15–12:30, MA 004

Kinematical theory of rigidly rotating spiral waves — •Vladimir Zykov — TU Berlin, Hardenbergstr. 36, 10623 Berlin, Germany

A simplified kinematical description of a rigidly rotating spiral induced in a generic two-component reaction-diffusion medium is elaborated by application of a free-boundary approach. It is shown that all characteristics of a rigidly rotating spiral (including its rotation period) are determined by the value of the slow component near the spiral front. On the other hand, the same value determines the period of a periodic wave train. Since the rotation period represents simultaneously the period of the wave train generated by a spiral wave, a selected value of the rotation frequency is uniquely determined as a solution of a system of algebraic equations. The results obtained in the framework of the proposed approach are compared to asymptotics derived earlier in the limits of weak and high excitability.