A Tri-Stable stochastic resonance model and its applying in detection of weak signal

Stochastic resonance(SR) is a new important branch in the nonlinear academic fields. And the SR system means a nonlinear system, in the effect of a small periodic signal and also noise of high energy, then the system will produce stochastic resonance phenomenon so that the output signal was significantly enhanced. The existing SR research especially in weak signal monitoring, mostly are based on the bistable system. This paper aims at the weak signal detection, using the SR phenomenon,and proposes a Tri-Stable SR model.Then we take the energy state simulation and find the potential energy distribution in our system,and successfully establish a Tri-Stable model with three potential wells. At the same time we use the two different models(bistable and tri-stable) to paly on the simulation signal in which the useful part is corrupted by the strong noise.Here we process the system with fourth-order Runge-Kutta method and explain the structure characteristics of Tri-Stable SR model.It can further amplify the signal-to-noise ratio, in low SNR signal detection and has considerable application foreground.