IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v42y2009i4p2272-2279.html
   My bibliography  Save this article

Stochastic resonance induced by the novel random transitions of two-dimensional weak damping bistable duffing oscillator and bifurcation of moment equation

Author

Listed:
  • Zhang, Guang-Jun
  • Xu, Jian-Xue
  • wang, Jue
  • Yue, Zhi-Feng
  • Zou, Hai-Lin

Abstract

In this paper stochastic resonance induced by the novel random transitions of two-dimensional weak damping bistable Duffing oscillator is analyzed by moment method. This kind of novel transition refers to the one among three potential well on two sides of bifurcation point of original system at the presence of internal noise. Several conclusions are drawn. First, the semi-analytical result of stochastic resonance induced by the novel random transitions of two-dimensional weak damping bistable Duffing oscillator can be obtained, and the semi-analytical result is qualitatively compatible with the one of Monte Carlo simulation. Second, a bifurcation of double-branch fixed point curves occurs in the moment equations with noise intensity as their bifurcation parameter. Third, the bifurcation of moment equations corresponds to stochastic resonance of original system. Finally, the mechanism of stochastic resonance is presented from another viewpoint through analyzing the energy transfer induced by the bifurcation of moment equation.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2272-2279
    DOI: 10.1016/j.chaos.2009.03.155
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077909002690
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2009.03.155?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. Zhang, Guang-Jun & Xu, Jian-Xue, 2005. "Stochastic resonance induced by novel random transitions of motion of FitzHugh–Nagumo neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1439-1449.
    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, Ting & Wang, Jiang & Fei, Xiangyang & Deng, Bin, 2007. "Synchronization of coupled FitzHugh–Nagumo systems via MIMO feedback linearization control," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 194-202.
    2. Qu, Lianghui & Du, Lin & Cao, Zilu & Hu, Haiwei & Deng, Zichen, 2021. "Pattern transition of neuronal networks induced by chemical autapses with random distribution," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    3. 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.
    4. Wang, Jiang & Zhang, Zhen & Li, Huiyan, 2008. "Synchronization of FitzHugh–Nagumo systems in EES via H∞ variable universe adaptive fuzzy control," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1332-1339.
    5. Mbeunga, N.K. & Nana, B. & Woafo, P., 2021. "Dynamics of array mechanical arms coupled each to a Fitzhugh-Nagumo neuron," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

    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:42:y:2009:i:4:p:2272-2279. 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.