Volume 73, Number 3, February 2006
|Page(s)||335 - 341|
|Published online||23 December 2005|
Spiral wave dynamics under traveling-wave modulation of excitable media
Institut für Theoretische Physik, Technische Universität Berlin D-10623 Berlin, Germany
2 Moscow Institute of Radioengineering, Electronics, and Automation 117454 Moscow, Russia
Accepted: 7 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.
PACS: 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
© EDP Sciences, 2006
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