IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v24y2005i3p863-868.html
   My bibliography  Save this article

Stochastic representation of chaos using terminal attractors

Author

Listed:
  • Zak, Michail

Abstract

A nonlinear version of the Liouville equation based upon terminal attractors is proposed for describing post-instability motions of dynamical systems with exponential divergence of trajectories such as those leading to chaos and turbulence. As a result, the post-instability motions are represented by expectations, variances, and higher moments of the state variables as functions of time. The proposed approach can be applied to conservative chaos, and in particular, to n-bodies problem, as well as to dissipative systems, and in particular, to chaotic attractors and turbulence.

Suggested Citation

  • Zak, Michail, 2005. "Stochastic representation of chaos using terminal attractors," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 863-868.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:3:p:863-868
    DOI: 10.1016/j.chaos.2004.09.098
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077904005843
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2004.09.098?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.

    Citations

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


    Cited by:

    1. Xiao, Ti-Jun & Ding, Hui-Sheng & Liang, Jin, 2008. "Global attractors for semilinear hyperbolic equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1040-1047.

    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:24:y:2005:i:3:p:863-868. 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.