CHAOS IN-CORE OSCILLATIONS OF GLOBULAR-CLUSTERS

被引：7

作者：

BREEDEN, JL ^{[1
]}

COHN, HN ^{[1
]}

机构：

[1] INDIANA UNIV, DEPT ASTRON, BLOOMINGTON, IN 47405 USA

来源：

ASTROPHYSICAL JOURNAL | 1995年 / 448卷 / 02期

关键词：

CELESTIAL MECHANICS; STELLAR DYNAMICS; CHAOS; GLOBULAR CLUSTERS; GENERAL;

D O I：

10.1086/175996

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We develop techniques with general applicability in searching for low-dimensional chaotic behavior in nonuniformly 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 N-s greater than or equal to 1.5 x 10(4), we calculate a positive Lyapunov exponent, which suggests deterministic chaos.

引用

页码：672 / 682

页数：11

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