Lyapunov exponents and Kolmogorov-Sinai entropy for a high-dimensional convex billiard

Details Lyapunov exponents and Kolmogorov-Sinai entropy for a high-dimensional convex billiard Lyapunov exponents and Kolmogorov-Sinai entropy for a high-dimensional convex billiard

1999-09-06

arxiv.org/abs/chao-dyn/9909009v1

Phys. Rev. E 61 (2000) 1337

Nonlinear Sciences

Chaotic Dynamics

7 pages, 3 EPS-figures, uses psfig.sty

Scientific paper

10.1103/PhysRevE.61.1337

We compute the Lyapunov exponents and the Kolmogorov-Sinai (KS) entropy for a self-bound N-body system that is realized as a convex billiard. This system exhibits truly high-dimensional chaos, and 2N-4 Lyapunov exponents are found to be positive. The KS entropy increases linearly with the numbers of particles. We examine the chaos generating defocusing mechanism and investigate how high-dimensional chaos develops in this system with no dispersing elements.

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