2006/12/27 by Tomoshige Miyaguchi, T. Miyaguchi
Mathematics · Physics and Astronomy · #Artificial intelligence #Chaos control and synchronization #Chaotic #Combinatorics #Computer science #Distribution (mathematics) #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Partition (number theory) #Physics #Quantum chaos and dynamical systems #Statistical physics #nlin.CD
paper · pdf · doi:10.1103/physreve.75.066215
7 pages, 8 figures
arxiv created 2006/12/27 · openalex publication_date 2007/06/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Chaotic orbits of the mushroom billiards display intermittent behaviors. We investigate statistical properties of this system by constructing an infinite partition on the chaotic part of a Poincaré surface, which illustrates details of chaotic dynamics. Each piece of the infinite partition has a unique escape time from the half disk region, and from this result it is shown that, for fixed values of the system parameters, the escape time distribution obeys a power law 1/t(esc)(3).