Variational principle for periodic trajectories of hyperbolic billiards.
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.
Bunimovich
Leonid A.
LA
School of Mathematics and Center for Dynamical Systems and Nonlinear Studies, Georgia Institute of Technology, Atlanta, Georgia 30332.