We have studied the stochastic resonance (SR) of bistable systems coupled to a bath with a nonlinear system–bath interaction, by using the microscopic, generalized Caldeira–Leggett (CL) model. The adopted CL model yields the non-Markovian Langevin equation with nonlinear dissipation and...

The stochastic resonance (SR) of periodically driven linear system with multiplicative white noise and periodically modulated additive white noise is studied. Exact expressions of output signal-to-noise ratio are obtained. The SR characteristics features are shown in two different situations:...

The first two moments of an underdamped harmonic oscillator were found for additive and multiplicative noises. A detailed analysis is performed of the case of a random damping which supplements the case of a random frequency which has received the most study. In both cases the second moments are...