Regensburg 2002 – scientific programme

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.46: Poster

Thursday, March 14, 2002, 15:30–18:00, D

Resonance attractors of spiral waves in excitable media under global feedback — •Vladimir Zykov and Harald Engel — Institut fuer Theoretische Physik, Technische Universitaet Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany

The dynamics of spiral waves on a circular domain is studied by numerical integration of a reaction-diffusion system with a global feedback. A theory is developed to explain the existence and stability of resonance attractors of spiral waves on domains of different sizes. The theoretical analysis predicts the existence of a discrete set of stable attractors with radii depending on the time delay in the feedback loop. Theoretical predictions are in good qualitative agreement with performed numerical simulations.