Chaos in Core Oscillations of Globular Clusters

Joseph L. Breeden and Haldan N. Cohn

Working Papers from Santa Fe Institute

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.

Date: 1995-03
References: View complete reference list from CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wop:safiwp:95-03-036

Access Statistics for this paper

More papers in Working Papers from Santa Fe Institute Contact information at EDIRC.
Bibliographic data for series maintained by Thomas Krichel ().