Effect of inertia mass on the stochastic resonance driven by a multiplicative dichotomous noise

A stochastic system driven by dichotomous noise and periodic signal is investigated in the under-damped case. The exact expressions of output signal amplitude and signal-to-noise ratio (SNR) of the system are derived. Numerical results indicate that the inertial mass greatly affects the output signal amplitude and the SNR. Regardless of whether the noise is symmetric or asymmetric, the inertial mass can influence the phenomenon of stochastic resonance (SR) of the system, leading to two types of resonance phenomenon: one is coherence-resonance-like of the SNR with inertial mass, the other is the SR of the SNR with noise intensity.