Symbolic dynamics I. Finite dispersive billiards
arXiv:chao-dyn/9301003 · doi:10.1088/0951-7715/6/5/005
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.
CYCLER Paper 93Jan003
References in corpus (1)
Cited by in corpus (11)
- Use of Harmonic Inversion Techniques in Semiclassical Quantization and Analysis of Quantum Spectra
- Symbolic Dynamics and Periodic Orbits for the Cardioid Billiard
- The semiclassical resonance spectrum of Hydrogen in a constant magnetic field
- Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem
- Quantum chaos inside space-temporal Sinai billiards
- Symbolic dynamics III. Bifurcations in billiards and smooth potentials
- Symbolic Dynamics of the Diamagnetic Kepler Problem Without Involving Bounces
- Periodic orbit quantization of chaotic systems with strong pruning
- Superiority of semiclassical over quantum mechanical calculations for a three-dimensional system
- Classical, semiclassical, and quantum investigations of the 4-sphere scattering system
- Cycle expansions with pruned orbits have branch points