Symbolic dynamics III. Bifurcations in billiards and smooth potentials

Abstract

The singular bifurcations in a dispersive billiard are discussed in terms of symbolic dynamics and is compared to an example of a bifurcation tree in a smooth potential. Possible generalizations to other smooth potentials are discussed.

CYCLER Paper 93Jan005

References in corpus (3)

• Symmetry Decomposition of Chaotic Dynamics
• Unstable Periodic Orbits in the Stadium Billiard
• Symbolic dynamics I. Finite dispersive billiards

Cited by in corpus (1)

• Symbolic Dynamics and Periodic Orbits for the Cardioid Billiard