Nonlinear resonance of a controllable bistable state potential model induced by correlated color noises

The particle escape process in a controllable bistable state model was investigated, which was driven by the cross-correlation colored multiplicative noise and white additive noise. The approximate Fokker-Planck equation and mean first-passage time (MFPT) were derived. It is found that the MFPT as a function of the multiplicative color noise intensity and the additive color noise intensity exhibits the single-peak resonance and inverse resonance phenomena and the color correlation between the two noises can stimulate the transition process of the system. The self or corss-correlation time and the cross-correlation strength can induce the resonance phenomenon. The influence of the controllable potential factor on the initial position escape behavior of the left and right wells is different, and it can enhance the stability of the controllable bistable state potential model. The large-scale controllable potential factor occupies the leading role of particle transition behavior in the case of controllable well width. © 2022, Editorial Office of Journal of Vibration and Shock. All right reserved.