IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v31y2007i4p960-976.html
   My bibliography  Save this article

Analysis on bifurcations of multiple limit cycles for a parametrically and externally excited mechanical system

Author

Listed:
  • Li, J.
  • Miao, S.F.
  • Zhang, W.

Abstract

Research on the bifurcations of the multiple limit cycles for a parametrically and externally excited mechanical system is presented in this paper. The original mechanical system is first transformed to the averaged equation in the Cartesian form, which is in the form of a Z2-symmetric perturbed polynomial Hamiltonian system of degree 5. Then, using the bifurcation theory of planar dynamical system and the method of detection function, the bifurcations of the multiple limit cycles of the system are investigated and the configurations of compound eyes are also obtained.

Suggested Citation

  • Li, J. & Miao, S.F. & Zhang, W., 2007. "Analysis on bifurcations of multiple limit cycles for a parametrically and externally excited mechanical system," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 960-976.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:4:p:960-976
    DOI: 10.1016/j.chaos.2005.10.065
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905010155
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2005.10.065?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, Wei & Wang, Feng-Xia & Zu, Jean W., 2005. "Local bifurcations and codimension-3 degenerate bifurcations of a quintic nonlinear beam under parametric excitation," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 977-998.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wei, Mengke & Jiang, Wenan & Ma, Xindong & Zhang, Xiaofang & Han, Xiujing & Bi, Qinsheng, 2021. "Compound bursting dynamics in a parametrically and externally excited mechanical system," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. Li, J. & Tian, Y. & Zhang, W., 2009. "Investigation of relation between singular points and number of limit cycles for a rotor–AMBs system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1627-1640.

    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. Lu, Qiuying, 2009. "Non-resonance 3D homoclinic bifurcation with an inclination flip," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2597-2605.
    2. Li, J. & Tian, Y. & Zhang, W., 2009. "Investigation of relation between singular points and number of limit cycles for a rotor–AMBs system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1627-1640.

    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:31:y:2007:i:4:p:960-976. 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.