Stochastic Resonance in Nonpotential Systems

Details Stochastic Resonance in Nonpotential Systems Stochastic Resonance in Nonpotential Systems

1998-01-13

arxiv.org/abs/cond-mat/9801119v1

Physics

Condensed Matter

Submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.57.4979

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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