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 A < ° , however, it increases with p increasing when A 2: °

Stochastic Resonance in a Complex Nonlinear System Driven by Complex Periodic Signal and Noise

“…The phenomenon of stochastic resonance (SR) in nonlinear system has been extensively studied in recent years. The response of the nonlinear system to a weak periodic signal can be enhanced by means of a Gaussian noise [1] , a high frequency periodic signal [2] , a chaotic signal [3] , a telegraph noise [4] , or a non-Gaussian noise [5] . Those external noise and signal introduced to nonlinear systems can play a surprisingly constructive role in the signal detection.…”