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Stochastic resonance in Bistable and Excitable Systems: Effect of non Gaussian noises

M.A. Fuentes; C.J. Tessone; H.S. Wio; R. Toral
Fluctuations and Noise Letters 3, L365-L371 (2003)

We analyze stochastic resonance in systems driven by non-Gaussian noises. For the bistable double well we compare the signal-to-noise ratio resulting from numerical simulations with some quasi-analytical results predicted by a consistent Markovian approximation in the case of a colored non-Gaussian noise. We also study the FitzHugh-Nagumo excitable system in the presence of the same noise. In both systems, we find that, as the noise departs from Gaussian behavior, there is a regime (different for the excitable and the bistable systems) in which there is a notable robustness against noise tuning since the signal-to-noise ratio curve broadens and becomes less sensitive to the actual value of the noise intensity. We also compare our results with some experiments in sensory systems.

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Consejo Superior de Investigaciones Científicas Universitat de les Illes Balears