Stochastic resonance in a bistable system driven by non-gaussian noise and gaussian noise

Abstract

The stochastic resonance in a bistable system driven by multiplicative non-Gaussian noise and additive Gaussian white noise is studied by using the theory of signal-to-noise ratio. The non-Markovian process is reduced to a Markovian process through a path integral approach and an approximate Fokker-Planck equation is obtained by applying the unified colored noise approximation. The expression of the signal-to-noise ratio is obtained by using the adiabatic limit. The effects of the non-Gaussian parameter p on the stochastic resonance are discussed. It is found that the non-Gaussian noise enhances the stochastic resonance in the case of p>1 and it restrains the stochastic resonance in the case of p<;1. The optimal value of resonance noise intensity D decreases with p increasing when the correlative strength λ <; 0, however, it increases with p increasing when λ ≥ 0.