Symbolic dynamics I. Finite dispersive billiards

Preprint

19 January 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9301003

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.

Keywords

DISPERSIVE BILLIARD
FINITE DISPERSIVE
SYMBOLIC DYNAMICS
BILLIARDS ORBITS
PRUNING FRONT
MONOTONE
GRAMMARS
ORBITS

All Related Versions

Version 1, 1993-01-19, ArXiv
Published version: Nonlinearity, 6 (5), 753.

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