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Communications in Mathematical Physics

, Volume 129, Issue 2, pp 319–327 | Cite as

Linearly stable orbits in 3 dimensional billiards

  • Maciej P. Wojtkowski
Article

Abstract

We construct linearly stable periodic orbits in a class of billiard systems in 3 dimensional domains with boundaries containing semispheres arbitrarily far apart. It shows that the results about planar billiard systems in domains with convex boundaries which have nonvanishing Lyapunov exponents cannot be easily extended to 3 dimensions.

Keywords

Neural Network Statistical Physic Complex System Periodic Orbit Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Maciej P. Wojtkowski
    • 1
  1. 1.Department of MathematicsUniversity of ArizonaTucsonUSA

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