Symbolic dynamics. I. Finite dispersive billiards

Published under licence by IOP Publishing Ltd
, , Citation K T Hansen 1993 Nonlinearity 6 753 DOI 10.1088/0951-7715/6/5/005

0951-7715/6/5/753

Abstract

Orbits in different dispersive billiards systems, for example the three-disk system, are mapped into a topological well-ordered symbolic 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.

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10.1088/0951-7715/6/5/005