Stochastic resonance in an asymmetric bistable system driven by correlated multiplicative and additive noise

Expression of signal-to-noise ratio (SNR) has been obtained for an asymmetric bistable system subject to correlated multiplicative and additive white noise by applying the two-state theory. The SNR is a non-monotonic function of intensities of multiplicative and additive noise and cross-correlation strength between noises, so stochastic resonance (SR) exhibits in the bistable system. Moreover, the effects of potential asymmetry r and cross-correlation strength λ on SNR are opposite. And the effect of potential asymmetry on SNR strongly depends on the values of noise intensity and cross-correlation strength between noises.