Stochastic resonance of a Langevin oscillator with fluctuating frequency induced by asymmetric noise. (Chinese. English summary) Zbl 1413.37040
Summary: In this paper, we focus on the stochastic resonance behaviors of a Langevin oscillator with fluctuating frequency induced by both periodically modulated noise and asymmetric noise. By using the Shapiro-Loginov formula, analytical expression of the first moment of the stable response is calculated. Then, stable conditions of the first moment are obtained and the stochastic resonance behaviors of the oscillator are elucidated.
MSC:
| 37H15 | Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents |
| 70K28 | Parametric resonances for nonlinear problems in mechanics |
| 35C15 | Integral representations of solutions to PDEs |
