Resonant drift of spiral waves in the Complex Ginzburg-Landau Equation

I.V. Biktasheva, Yu.E. Elkin, V.N. Biktashev

Submitted to JoBP 1998/07/31. Accepted 1999/02/02.

Weak periodic external perturbations of an autowave medium can cause large-distance directed motion of the spiral wave. This happens when the period of the perturbation coincides with, or is close to the rotation period of a spiral wave, or its multiple. Such motion is called resonant or parametric drift. It may be used for low-voltage defibrillation of heart tissue. Theory of the resonant drift exists, but so far was used only qualitatively. In this paper, we show good quantitative agreement of the theory with direct numerical simulations. This is done for Complex Ginzburg-Landau Equation, one of the simplest autowave models.

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Vadim Biktashev