Stochastic resonance in a multistable system driven by Gaussian noise. (English) Zbl 1418.60091
Summary: Stochastic resonance (SR) is investigated in a multistable system driven by Gaussian white noise. Using adiabatic elimination theory and three-state theory, the signal-to-noise ratio (SNR) is derived. We find the effects of the noise intensity and the resonance system parameters \(b\), \(c\), and \(d\) on the SNR; the results show that SNR is a nonmonotonic function of the noise intensity; therefore, a multistable SR is found in this system, and the value of the peak changes with changing the system parameters.
MSC:
| 60H25 | Random operators and equations (aspects of stochastic analysis) |
| 82C31 | Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics |
Keywords:
stochastic resonanceReferences:
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