Stochastic Resonance in a Langevin Oscillator Subject to Asymmetric Noise

Abstract:

This paper focuses on the phenomenon of stochastic resonance in a oscillator with random frequency subject to periodically modulated noise and asymmetric noise. Through Shapiro-Loginov formula, the analytical expression of the first moment of stable response is calculated, then we get the stable conditions of the first moment. At last, we discover the phenomenon of stochastic resonance with different parameters and rich dynamical behaviors, such as multi-resonance.