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Resonance in periodically inhibited reaction-diffusion systems. (English) Zbl 1004.35015

Periodically inhibited oscillatory Belousov-Zhabotinskij reaction-diffusion system is experimentally studied. The periodic perturbations of the photosensitive reaction are made with light, which inhibits the oscillatory behavior. It is investigated the behaviour for two different levels of inhibitor concentration in the reagent feed to determine the shape of the 2:1 resonant regime as a function of the forcing intensity and forcing frequency. A transition from traveling waves to standing waves is shown to high forcing intensity. Similar behaviour to that observed in the experiments is shown for simulations of a reaction-diffusion model with FitzHugh-Nagumo kinetics.

MSC:

35B34 Resonance in context of PDEs
35K57 Reaction-diffusion equations
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