Symbolic dynamics. I. Finite dispersive billiards
- 1 September 1993
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 6 (5) , 753-769
- https://doi.org/10.1088/0951-7715/6/5/005
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.Keywords
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