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

Authors
Papenbrock, T
Citation
T. Papenbrock, Lyapunov exponents and Kolmogorov-Sinai entropy for a high-dimensional convex billiard, PHYS REV E, 61(2), 2000, pp. 1337-1341
Citations number
24
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
61
Issue
2
Year of publication
2000
Pages
1337 - 1341
Database
ISI
SICI code
1063-651X(200002)61:2<1337:LEAKEF>2.0.ZU;2-E
Abstract
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 sys tem 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 invest igate how high-dimensional chaos develops in this system with no dispersing elements.