MECHANISM OF PARAMETRIC RESONANCE OF VORTICES IN EXCITABLE MEDIA

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Abstract
An alternating electric current induces a drift of spiral waves (vortices) in the Belousov-Zhabotinsky reaction. When the electric current frequency is twice the frequency of the vortex rotation, the vortex drifts with a velocity about 1/5 of the vortex drift in a constant electric current or 1/20 of the wave front velocity. The dependence of parametric resonance on the chirality of the vortex, excitability of the medium, phase shift between electric current and vortex rotation, frequency and amplitude of the alternating electric current is analyzed and used to control the direction and velocity of the drift. A kinematical model, based on the asymmetric effect of the current on the normal and tangential velocities of the vortex tip, is formulated and recovers the most important aspects of parametric resonance.

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