Chaos in Core Oscillations of Globular Clusters

Details Chaos in Core Oscillations of Globular Clusters Chaos in Core Oscillations of Globular Clusters

Aug 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...448..672b&link_type=abstract

Astrophysical Journal v.448, p.672

Astronomy and Astrophysics

Astronomy

5

Celestial Mechanics, Stellar Dynamics, Chaos, Galaxy: Globular Clusters: General

Scientific paper

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., postcollapse 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 Ns ≥ 1.5 × 104, we calculate a positive Lyapunov exponent, which suggests deterministic chaos.

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