Application of the method of moments for calculating the dynamic response of periodically driven nonlinear stochastic systems (Q2747383)

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scientific article; zbMATH DE number 1657614
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Application of the method of moments for calculating the dynamic response of periodically driven nonlinear stochastic systems
scientific article; zbMATH DE number 1657614

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    Application of the method of moments for calculating the dynamic response of periodically driven nonlinear stochastic systems (English)
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    31 July 2002
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    stochastic resonance
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    Fokker-Planck equation
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    periodically driven stochastic system
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    method of moments
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    Floquet's theorem
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    spectral amplification factor
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    high-frequency approximation
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    The authors consider the dynamics of an overdamped Brownian particle in an asymmetric double-well potential in the presence of external time-periodic field. The method of moments is used to obtain numerically the first three susceptibilities of the system. Further they are compared with the approximations derived from the Fokker-Planck equation and the {high-frequency} approximation. The dependence of the spectral amplification of the first harmonics on the noise intensity is investigated and {stochastic resonance}-like behaviour is observed.
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