Symbolic dynamics I. Finite dispersive billiards
chao-dyn
2009-10-22 v1 Chaotic Dynamics
Abstract
Orbits in different dispersive billiard systems, e.g. the 3 disk system, are mapped into a topological well ordered symbol plane and it is showed that forbidden and allowed orbits are separated by a monotone pruning front. The pruning front can be approximated by a sequence of finite symbolic dynamics grammars.
Cite
@article{arxiv.chao-dyn/9301003,
title = {Symbolic dynamics I. Finite dispersive billiards},
author = {Kai T. Hansen},
journal= {arXiv preprint arXiv:chao-dyn/9301003},
year = {2009}
}
Comments
CYCLER Paper 93Jan003