Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Poster I

DY 17.44: Poster

Tuesday, February 26, 2008, 16:00–18:00, Poster C

Stabilized spiral waves between two excitability limits — •Jan Schlesner, Vladimir S. Zykov, and Harald Engel — Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany

Taking the FitzHugh-Nagumo as an representative example, rigidly rotating spiral waves are studied over the whole excitability range where spiral waves are supported. By external feedback control we inhibit the instability of rigid rotation and the transition to meandering motion. Under the feedback we determine the rotation frequency, the core radius and other characteristics of rigid rotation in a broad excitability range that includes the meander regime where rigid rotation is unstable. These numerical results are compared to theoretical predictions obtained within the framework of a kinematical approach. Up to now the agreement is encouraging: Both the scaling laws valid for weakly and strongly excitable media as well as the range of intermediate excitability values are reproduced fairly good.