IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v228y1996i1p245-272.html
   My bibliography  Save this article

The order—chaos—order sequence in the spring pendulum

Author

Listed:
  • van der Weele, J.P.
  • de Kleine, E.

Abstract

We study the motions of a spring pendulum as a function of its two control parameters (the ratio of the spring and pendulum frequencies, and the energy). It is shown that in the limits for very small and very large parameter values the dynamics of the spring pendulum is predominantly regular, while at intermediate parameter values the majority of initial conditions lead to chaotic trajectories. Thus, upon varying the parameters from small to large values one typically witnesses a transition from order to chaos and back to order again. Similar order—chaos—order sequences are observed in many other dynamical systems, and the spring pendulum is a representative example.

Suggested Citation

  • van der Weele, J.P. & de Kleine, E., 1996. "The order—chaos—order sequence in the spring pendulum," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 228(1), pages 245-272.
  • Handle: RePEc:eee:phsmap:v:228:y:1996:i:1:p:245-272
    DOI: 10.1016/0378-4371(95)00426-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437195004262
    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/10.1016/0378-4371(95)00426-2?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:phsmap:v:228:y:1996:i:1:p:245-272. 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: 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.