Europhys. Lett.
Volume 73, Number 3, February 2006
Page(s) 335 - 341
Section General
Published online 23 December 2005
Europhys. Lett., 73 (3), pp. 335-341 (2006)
DOI: 10.1209/epl/i2005-10417-3

Spiral wave dynamics under traveling-wave modulation of excitable media

S. Zykov1, 2, V. S. Zykov1 and V. Davydov2

1  Institut für Theoretische Physik, Technische Universität Berlin D-10623 Berlin, Germany
2  Moscow Institute of Radioengineering, Electronics, and Automation 117454 Moscow, Russia

received 7 November 2005; accepted in final form 7 December 2005
published online 23 December 2005

We study dynamics of spiral waves in excitable media under spatio-temporal forcing in the form of a traveling-wave modulation of a control parameter. Within a certain range of the modulation frequency a synchronized drift of a spiral wave along a straight line is obtained. A complicated cycloidal-like motion occurs outside this synchronization band. Although circulation of the spiral wave tip is in-phase with external modulation, its rotation frequency is not locked by the applied perturbation. These numerical results obtained for the Oreganator model are confirmed and complemented by analysis of a simplified kinematical model. It is shown that the observed paradoxical phase synchronization is caused by Doppler shift of the modulation frequency in a coordinate system comoving with the spiral wave core.

05.45.-a - Nonlinear dynamics and nonlinear dynamical systems.
82.40.Ck - Pattern formation in reactions with diffusion, flow, and heat transfer.
05.45.Xt - Synchronization, coupled oscillators.

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