Parameter-induced stochastic resonance in overdamped system with α stable noise

Parameter-induced stochastic resonance is an important method of detecting weak signal from noise, but under a stable noise background, this method has not been reported. In this paper, we study the parameter-induced stochastic resonance in an overdamped system with a stable noise. Our investigation discloses that the stochastic resonance can be realized by tuning the system parameter under a stable noise background; when the nonlinear term parameter is turned, the resonant effect becomes weakened as the a stability index a decreases. But when the linear term parameter is turned, the resonant effect becomes strengthened as the a stability index a decreases. Our observation is significant for understanding the positive role of a stable noise in weak signal detection, which is helpful for understanding the effects of different a stable noises on stochastic resonance systems.