Stochastic resonance in multi-stable system driven by Levy noise

In this paper, the stochastic resonance (SR) of a multi-stable system driven by Levy noise is investigated by the mean signal-to-noise ratio gain (SNR-GM). The characteristics for resonant output of multi-stable system, governed by the system parameters (a and c), the noise amplification factor D of Levy noise are investigated under different values of stability index alpha and asymmetry parameter beta of Levy noise. The results reveal that the parameter alpha is closer to 1, the amplitude of SNR-GM versus system parameter a (or c) is larger. The interval of SR presents a trend that the curve of SNR-GM shifts to the right with the increase of alpha especially when alpha > 1. In addition, the SNR-GM for different values of system parameter a (or c) exhibits a tendency to move to the left with the increase of system parameter c (or a). Finally, the simulation results prove that the proposed multi-stable model has better advantage than bistable system and monostable system in signal enhancement and SNR-GM performance.