IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v41y2009i4p1987-1993.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077908003603
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2008.08.002?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhang, Guang-Jun & Xu, Jian-Xue & wang, Jue & Yue, Zhi-Feng & Zou, Hai-Lin, 2009. "Stochastic resonance induced by the novel random transitions of two-dimensional weak damping bistable duffing oscillator and bifurcation of moment equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2272-2279.
    2. Wei, Guoliang & Shu, Huisheng, 2007. "H∞ filtering on nonlinear stochastic systems with delay," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 663-670.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1987-1993. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.