Linearly stable orbits in 3 dimensional billiards
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.
KeywordsNeural Network Statistical Physic Complex System Periodic Orbit Nonlinear Dynamics
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