Symbolic dynamics I. Finite dispersive billiards

Details Symbolic dynamics I. Finite dispersive billiards Symbolic dynamics I. Finite dispersive billiards

1993-01-19

arxiv.org/abs/chao-dyn/9301003v1

Nonlinear Sciences

Chaotic Dynamics

CYCLER Paper 93Jan003

Scientific paper

10.1088/0951-7715/6/5/005

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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