IDEAS home Printed from https://ideas.repec.org/p/wop/safiwp/95-03-036.html
   My bibliography  Save this paper

Chaos in Core Oscillations of Globular Clusters

Author

Listed:
  • Joseph L. Breeden
  • Haldan N. Cohn

Abstract

We develop techniques with general applicability in searching for low dimensional chaotic behavior in non-uniformly sampled time series data. This is done through the analysis of a specific example, viz. post-collapse core oscillations in globular star cluster evolution. Using simulation data from a Fokker-Planck model that includes energy input from binaries formed in three-body interactions, we present evidence for a bifurcation sequence leading to a low dimensional chaotic attractor. We show state space portraits of the attractor reconstructed in three dimensions and calculate a correlation dimension for each. For every value of the total star number in the range $N_s \ge 1.5 \times 10^4$, we calculate a positive Lyapunov exponent, which suggests deterministic chaos.

Suggested Citation

  • Joseph L. Breeden & Haldan N. Cohn, 1995. "Chaos in Core Oscillations of Globular Clusters," Working Papers 95-03-036, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:95-03-036
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    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:wop:safiwp:95-03-036. 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: Thomas Krichel (email available below). General contact details of provider: https://edirc.repec.org/data/epstfus.html .

    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.