Regensburg 2002 – wissenschaftliches Programm
DY 46.46: Poster
Donnerstag, 14. März 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.