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Symbolic dynamics I. Finite dispersive billiards

Kai T. Hansen
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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.

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Kai T. Hansen. 1993-01-19. Symbolic dynamics I. Finite dispersive billiards. https://doi.org/10.1088/0951-7715%2F6%2F5%2F005

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