IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v39y2009i2p547-555.html
   My bibliography  Save this article

Soliton parameters and chaotic sets

Author

Listed:
  • Fonseca, André
  • Francisco, Gerson

Abstract

In this work we apply a nonperturbative approach to analyze soliton bifurcation in the presence of surface tension, which is a reformulation of standard methods based on the reversibility properties of the system. The hypothesis is nonrestrictive and the results can be extended to a much wider variety of systems. The usual idea of tracking intersections of unstable manifolds with some invariant set is again used, but reversibility plays an important role establishing in a geometrical point of view some kind of symmetry which, in a classical way, is unknown or nonexistent. Using a computer program we determine soliton solutions and also their bifurcations in the space of parameters giving a picture of the chaotic structural distribution to phase and amplitude shift phenomena.

Suggested Citation

  • Fonseca, André & Francisco, Gerson, 2009. "Soliton parameters and chaotic sets," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 547-555.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:2:p:547-555
    DOI: 10.1016/j.chaos.2007.01.153
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907001968
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2007.01.153?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.

    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:39:y:2009:i:2:p:547-555. 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: 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.