Dresden 2006 – scientific programme

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.37: Poster

Thursday, March 30, 2006, 16:00–18:00, P1

High-order resonance in spiral wave dynamics under traveling wave modulation — •Sergey Zykov^1,2, Vladimir Zykov¹, Vasilij Davydov², and Harald Engel¹ — ¹Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany — ²Moscow Institute of Radioengineering, Electronics and Automation, Russia

Resonance effects are well-known for different oscillating systems subjected to external periodic forcing. Here we consider the resonant drift of spiral waves rotating in a two-dimensional excitable medium under a spatio-temporal forcing in the form of a traveling wave modulation. We analyze the dependence of the direction and the velocity of the drift on the frequency, the wavelength and the amplitude of the external modulation. In contrary to a spatially uniform, pure time-periodic external forcing, high-order synchronization bands (2:1 and 3:1) are obtained, where the phase of the spiral wave is synchronized by the external force. Results of the direct integration of the reaction-diffusion equations agree well with those of the kinematical description of spiral tip motion.