Berlin 2005 – scientific programme

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DY: Dynamik und Statistische Physik

DY 34: Poster

DY 34.44: Poster

Monday, March 7, 2005, 15:30–18:00, Poster TU D

Synchronization of spiral wave motion by spatio-temporal forcing — •Sergey Zykov¹, Harald Engel², Vladimir Zykov², and Vasilij Davydov¹ — ¹Moscow Institut of Radioengineering, Electronics and Automation, Russia — ²Institut für Theoretische Physik, Technische Universität Berlin, Germany

A traditional way to control spiral wave motion is to apply an external forcing uniformly to an excitable medium. Here we consider spiral waves in a two-dimensional excitable medium under a spatio-temporal forcing F(x,y,t) = a sin(ω_m t + k_m x), assuming that k_m r₀ ≪ 1, where r₀ is the radius of the spiral core. We show, that within a certain synchronization band such forcing induces a spiral wave drift along a straight line, whose orientation depends on the modulation frequency ω _m, wavenumber k_m and the eigen frequency of the spiral wave. It turns out that during this drift the phase of the rotating spiral wave is synchronized with the external forcing. Kinematical description of spiral tip motion is in good agreement with the results of a direct integration of the underlying reaction-diffusion equations.