IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v245y1997i1p49-98.html
   My bibliography  Save this article

Mode competition in a system of two parametrically driven pendulums with nonlinear coupling

Author

Listed:
  • Banning, E.J.
  • van der Weele, J.P.
  • Ross, J.C.
  • Kettenis, M.M.

Abstract

This paper is part three in a series on the dynamics of two coupled, parametrically driven pendulums. In the previous parts Banning and van der Weele (1995) and Banning et al. (1997) studied the case of linear coupling; the present paper deals with the changes brought on by the inclusion of a nonlinear (third-order) term in the coupling. Special attention will be given to the phenomenon of mode competition.

Suggested Citation

  • Banning, E.J. & van der Weele, J.P. & Ross, J.C. & Kettenis, M.M., 1997. "Mode competition in a system of two parametrically driven pendulums with nonlinear coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(1), pages 49-98.
  • Handle: RePEc:eee:phsmap:v:245:y:1997:i:1:p:49-98
    DOI: 10.1016/S0378-4371(97)00275-6
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197002756
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/S0378-4371(97)00275-6?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. Banning, E.J. & van der Weele, J.P. & Kettenis, M.M., 1997. "Mode competition in a system of two parametrically driven pendulums; the role of symmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 281-311.
    2. Banning, E.J. & van der Weele, J.P. & Ross, J.C. & Kettenis, M.M. & de Kleine, E., 1997. "Mode competition in a system of two parametrically driven pendulums; the dissipative case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(1), pages 11-48.
    3. Banning, E.J & van der Weele, J.P, 1995. "Mode competition in a system of two parametrically driven pendulums; the Hamiltonian case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 485-533.
    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. Banning, E.J. & van der Weele, J.P. & Kettenis, M.M., 1997. "Mode competition in a system of two parametrically driven pendulums; the role of symmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 281-311.
    2. Banning, E.J. & van der Weele, J.P. & Ross, J.C. & Kettenis, M.M. & de Kleine, E., 1997. "Mode competition in a system of two parametrically driven pendulums; the dissipative case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(1), pages 11-48.

    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. Banning, E.J. & van der Weele, J.P. & Ross, J.C. & Kettenis, M.M. & de Kleine, E., 1997. "Mode competition in a system of two parametrically driven pendulums; the dissipative case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(1), pages 11-48.
    2. Banning, E.J. & van der Weele, J.P. & Kettenis, M.M., 1997. "Mode competition in a system of two parametrically driven pendulums; the role of symmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 281-311.

    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:phsmap:v:245:y:1997:i:1:p:49-98. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.