Stochastic Resonance in Nonpotential Systems

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.

Submitted to Phys. Rev. E

References in corpus (4)

• A Scaling Theory of Bifurcations in the Symmetric Weak-Noise Escape Problem
• Divergent Signal-to-Noise Ratio and Stochastic Resonance in Monostable Systems
• Oscillatory Behavior of the Rate of Escape through an Unstable Limit Cycle
• Stochastic resonance in a system of ferromagnetic particles

Cited by in corpus (1)

• Stochastic resonance in a non Markovian discrete state model for excitable systems