Variational principle for periodic trajectories of hyperbolic billiards

1 June 1995

journal article
Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science

Vol. 5 (2) , 349-355
https://doi.org/10.1063/1.166105

Abstract

We prove for some classes of hyperbolic billiards that the action functional has only one local minimum or only one local maximum for any finite admissible sequence of regular components of the boundary. This result suggests an effective algorithm for the search of all periodic trajectories of these billiards. (c) 1995 American Institute of Physics.

Keywords

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