IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v30y2002i2d10.1140_epjb_e2002-00375-6.html
   My bibliography  Save this article

Relative effectiveness of weak periodic excitations in suppressing homoclinic/heteroclinic chaos

Author

Listed:
  • R. Chacón

    (Departamento de Electrónica e Ingeniería Electromecánica, Escuela de Ingenierías Industriales, Universidad de Extremadura, 06071 Badajoz, Spain)

Abstract

Melnikov-method-based theoretical results are demonstrated concerning the relative effectiveness of any two weak excitations in suppressing homoclinic/heteroclinic chaos of a relevant class of dissipative, low-dimensional and non-autonomous systems for the main resonance between the chaos-inducing and chaos-suppressing excitations. General analytical expressions are derived from the analysis of generic Melnikov functions providing the boundaries of the regions as well as the enclosed area in the amplitude/initial phase plane of the chaos-suppressing excitation where homoclinic/heteroclinic chaos is inhibited. The relevance of the theoretical results on chaotic attractor elimination is confirmed by means of Lyapunov exponent calculations for a two-well Duffing oscillator.

Suggested Citation

  • R. Chacón, 2002. "Relative effectiveness of weak periodic excitations in suppressing homoclinic/heteroclinic chaos," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 30(2), pages 207-210, November.
    • Handle: RePEc:spr:eurphb:v:30:y:2002:i:2:d:10.1140_epjb_e2002-00375-6
    DOI: 10.1140/epjb/e2002-00375-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/e2002-00375-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/e2002-00375-6?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.

    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:spr:eurphb:v:30:y:2002:i:2:d:10.1140_epjb_e2002-00375-6. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.