Stochastic resonance in FizHugh-Nagumo model driven by multiplicative signal and non-Gaussian noise

摘要

The stochastic resonance phenomenon in FizHugh-Nagumo neural system induced by a multiplicative periodic signal and non-Gaussian noise is studied. Based on path integral approach and two-state theory, the Fokker–Planck equation and signal-to-noise ratio are derived. By analyzing the influence of different parameters in the optimization of signal-to-noise ratio, we observe that the conventional stochastic resonance and double stochastic resonance occur in FizHugh-Nagumo neural model under different values of system parameters. Furthermore, there is a critical value of non-Gaussian noise intensity D, above which the increase of D weakens the resonant effect and below which it enhances the resonant effect.