Escape time statistics for mushroom billiards.
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).
Meme Media Laboratory, Hokkaido University, Kita-Ku, Sapporo 060-0813, Japan. tomo@nse.es.hokudai.ac.jp
Tomoshige
T
Miyaguchi