Regensburg 2004 – scientific programme

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DY: Dynamik und Statistische Physik

DY 20: Fractals and Nonlinearity I

DY 20.3: Talk

Tuesday, March 9, 2004, 10:15–10:30, H2

Theoretical and experimental study of feedback-mediated drift of spiral waves — •Vladimir Zykov and Harald Engel — Technische Universitaet Berlin, Institut fuer Theoretische Physik, Sekr. PN 7-1, Hardenbergstr. 36, D-10623 Berlin

An efficient method is proposed to determine a velocity field describing feedback induced drift of spiral waves. This method can be applied to quite different feedback mechanisms as, for example, the one-channel and the global feedback. It is shown that a smooth variation of eccentricity of an elliptical domain subjected to the global feedback induces a cascade of bifurcations that can drastically change the spiral wave evolution. In a square shaped domain a set of point attractors appears instead of the circular resonance attractor typical for a circular domain. These predictions are in good quantitative agreement with performed numerical integrations of an excitable reaction-diffusion system and with experimental data obtained for the light-sensitive Belousov-Zhabotinsky reaction.