Lyapunov exponents and kolmogorov-sinai entropy for a high-dimensional convex billiard

  • Papenbrock
  • Published 2000 in
    Physical review. E, Statistical physics, plasmas…
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… CONTINUE READING