Pruning of orbits in four-disk and hyperbola billiards
- 1 January 1992
- journal article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 2 (1) , 71-75
- https://doi.org/10.1063/1.165900
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.Keywords
This publication has 15 references indexed in Scilit:
- Periodic orbit quantization of bound chaotic systemsJournal of Physics A: General Physics, 1991
- Existence of stable orbits in thepotentialPhysical Review Letters, 1990
- On the topology of the Henon mapJournal of Physics A: General Physics, 1990
- Universal encoding for unimodal mapsJournal of Statistical Physics, 1990
- Topological and metric properties of Hénon-type strange attractorsPhysical Review A, 1988
- On iterated maps of the intervalPublished by Springer Nature ,1988
- Toward a quantitative theory of self-generated complexityInternational Journal of Theoretical Physics, 1986
- Generating partitions for the dissipative Hénon mapPhysics Letters A, 1985
- A two-dimensional mapping with a strange attractorCommunications in Mathematical Physics, 1976
- On finite limit sets for transformations on the unit intervalJournal of Combinatorial Theory, Series A, 1973