Stochastic resonance of a fractional-order bistable system driven by corrected non-Gaussian noise and Gaussian noise

Abstract

In this paper, we study the phenomenon of stochastic resonance(SR) in a fractional-order bistable system including a periodic signal caused by terms of the colored cross-correlated multiplicative non-Gaussian noise and additive Gaussian noise. Applying the fractional-order minimum mean square error criterion, path integral approach and two-state model theory, the expression for signal-to-noise ratio(SNR) is derived theoretically. The effectiveness of these theoretical methods is also verified through numerical simulations. The results show that the SNR curves all exhibit a maximum value, indicating the occurrence of SR within the system. Larger values of self-correlation time and amplitude enhance the generation of SR. The effects of correlation strength, non-Gaussian parameter and fractional order on SR vary with the intensity of multiplicative noise and additive noise.