Lyapunov exponents and kolmogorov-sinai entropy for a high-dimensional convex billiard
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.
Papenbrock
T
Institute for Nuclear Theory, Department of Physics, University of Washington, Seattle, Washington 98195, USA.