1992•Chaos An Interdisciplinary Journal of Nonlinear ScienceRequires access

Pruning of orbits in four-disk and hyperbola billiards

Kai T. Hansen

Abstract

It is shown that for the four-disk system and the hyperbola billiard it is possible to construct a new symbolic plane preserving the orientation existing in the dynamical space. Physical orbits are mapped into the topological well-ordered plane and it is shown that the forbidden and allowed orbits are separated by a monotone pruning front.

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Key concepts: Hyperbola, Dynamical billiards, Monotone polygon, Plane (geometry), Pruning, Mathematics, Torus, Construct (python library)