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Observing bifurcation and resonance in a mean-field coupled periodically driven noisy overdamped oscillators by the method of moments

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  • Kang, Yan-Mei
  • Jiang, Yao-Lin

Abstract

A method of moments for calculating long-term order parameter dynamics of mean-field coupled periodically driven overdamped oscillators is described based on nonlinear Fokker–Planck equation. Using this technique the bifurcation behavior and stochastic resonance of the order parameter is observed, and the accuracy is verified by comparing with Gaussian moment method and stochastic simulation. The technique can be used in nonharmonic external excitation case.

Suggested Citation

  • Kang, Yan-Mei & Jiang, Yao-Lin, 2009. "Observing bifurcation and resonance in a mean-field coupled periodically driven noisy overdamped oscillators by the method of moments," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1987-1993.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1987-1993
    DOI: 10.1016/j.chaos.2008.08.002
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    References listed on IDEAS

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    1. Kang, Yan-Mei & Xie, Yong & Xu, Jian-Xue, 2006. "Observing nonlinear stochastic resonance with piecewise constant driving forces by the method of moments," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 715-721.
    2. Zhang, Guang-Jun & Xu, Jian-Xue, 2006. "A study on stochastic resonance of one-dimensional bistable system in the neighborhood of bifurcation point with the moment method," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1056-1066.
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