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Stochastic Resonance in Nonpotential Systems

T. Alarcon·A. Perez-Madrid·J. M. Rubi
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Abstract

We propose a method to analytically show the possibility for the appearance of a maximum in the signal-to-noise ratio in nonpotential systems. We apply our results to the FitzHugh-Nagumo model under a periodic external forcing, showing that the model exhibits stochastic resonance. The procedure that we follow is based on the reduction to a one-dimensional dynamics in the adiabatic limit, and in the topology of the phase space of the systems under study. Its application to other nonpotential systems is also discussed.

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T. Alarcon, A. Perez-Madrid, J. M. Rubi. 1998-01-13. Stochastic Resonance in Nonpotential Systems. https://doi.org/10.1103/physreve.57.4979

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