We propose some approximate methods to explore the nonlinear regime of the stochastic resonance phenomenon. These approximations correspond to different truncation schemes of cumulants. We compare the theoretical results for the signal power amplification, obtained by using ordinary cumulant truncation schemes, that is Gaussian and excess approximations, the modified two-state approximation with those obtained by numerical simulations of the Langevin equation describing the dynamics of the system.
Dubkov, A., Spagnolo, B., Valenti, D. (2015). New analytical approach to analyze the nonlinear regime of stochastic resonance. In 2015 International Conference on Noise and Fluctuations (ICNF) (pp. 1-4). Institute of Electrical and Electronics Engineers Inc. [10.1109/ICNF.2015.7288590].
New analytical approach to analyze the nonlinear regime of stochastic resonance
SPAGNOLO, Bernardo;VALENTI, Davide
2015-06-02
Abstract
We propose some approximate methods to explore the nonlinear regime of the stochastic resonance phenomenon. These approximations correspond to different truncation schemes of cumulants. We compare the theoretical results for the signal power amplification, obtained by using ordinary cumulant truncation schemes, that is Gaussian and excess approximations, the modified two-state approximation with those obtained by numerical simulations of the Langevin equation describing the dynamics of the system.
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