Stochastic resonance in a mono-stable system with multiplicative and additive noise

Abstract

The stochastic resonance in a biased mono-stable system subject to multiplicative and additive noise is investigated. Based on the adiabatic approximation theory, the analytic expression of the signal-to-noise ratio (SNR) is obtained. It is shown that the SNR is a non-monotonic function of the intensities of the multiplicative and additive noise, as well as the parameters of the mono-stable system.