VARIATIONAL PRINCIPLE FOR PERIODIC TRAJECTORIES OF HYPERBOLIC BILLIARDS

被引：15
|
作者：
BUNIMOVICH, LA [1 ]
机构：
[1] GEORGIA INST TECHNOL,CTR DYNAM SYST & NONLINEAR STUDIES,ATLANTA,GA 30332
来源：
CHAOS | 1995年 / 5卷 / 02期
关键词：
D O I：
10.1063/1.166105
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. © 1995 American Institute of Physics.
引用
收藏
页码：349 / 355
页数：7
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