Non-ergodicity of the motion in three dimensional steep repelling dispersing potentials

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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6 pages, 8 figures, submitted to Chaos

Scientific paper

10.1063/1.2357331

It is demonstrated numerically that smooth three degrees of freedom
Hamiltonian systems which are arbitrarily close to three dimensional strictly
dispersing billiards (Sinai billiards) have islands of effective stability, and
hence are non-ergodic. The mechanism for creating the islands are corners of
the billiard domain.

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