Parameter-Induced Stochastic Resonance of Weak Periodic Signal Excitation with α Stable Noise

Abstract

In view of the nonlinear bistable system, this paper studied the parameter-induced stochastic resonance phenomenon of low-frequency weak signal excitation under α stable noise environment, and explored the action laws of the α stable noise distribution parameters α, β, γ, σ and the bistable system parameters a, b on stochastic resonance effect. The results show that in different α stable noise, adjusting the bistable system parameters can induce stochastic resonance, Moreover, when a (or b) is fixed, the intervals of b (or a) which can induce stochastic resonance are multiple and don't change with any α stable distribution parameter. Further, by combining with the parameter compensation method for researching on high-frequency weak signal, the same action laws as the low-frequency signal are got. The conclusions are significant for using parameter-induced stochastic resonance principle in weak signal detection in the abnormal diffusion dynamical system.