Abstract
We study dynamics of spiral waves in excitable media under spatio-temporal forcing in the form of a traveling-wave modulation of a controlparameter. Within a certain range of the modulation frequencya synchronized drift of a spiral wave along a straight line isobtained. A complicated cycloidal-like motion occurs outside thissynchronization band. Although circulation of the spiral wave tipis in-phase with external modulation, its rotation frequency isnot locked by the applied perturbation. These numerical results obtained forthe Oreganator model are confirmed and complemented by analysis ofa 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.
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