IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/546364.html
   My bibliography  Save this article

Chaos in a Magnetic Pendulum Subjected to Tilted Excitation and Parametric Damping

Author

Listed:
  • C. A. Kitio Kwuimy
  • C. Nataraj
  • M. Belhaq

Abstract

The effect of tilted harmonic excitation and parametric damping on the chaotic dynamics in an asymmetric magnetic pendulum is investigated in this paper. The Melnikov method is used to derive a criterion for transition to nonperiodic motion in terms of the Gauss hypergeometric function. The regular and fractal shapes of the basin of attraction are used to validate the Melnikov predictions. In the absence of parametric damping, the results show that an increase of the tilt angle of the excitation causes the lower bound for chaotic domain to increase and produces a singularity at the vertical position of the excitation. It is also shown that the presence of parametric damping without a periodic fluctuation can enhance or suppress chaos while a parametric damping with a periodic fluctuation can increase the region of regular motions significantly.

Suggested Citation

  • C. A. Kitio Kwuimy & C. Nataraj & M. Belhaq, 2012. "Chaos in a Magnetic Pendulum Subjected to Tilted Excitation and Parametric Damping," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-18, November.
    • Handle: RePEc:hin:jnlmpe:546364
    DOI: 10.1155/2012/546364
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2012/546364.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2012/546364.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/546364?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
    ---><---

    Citations

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


    Cited by:

    1. Nana, B. & Yamgoué, S.B. & Woafo, P., 2021. "Dynamics of an autonomous electromechanical pendulum-like system with experimentation," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

    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:hin:jnlmpe:546364. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.