Nonergodicity of the motion in three-dimensional steep repelling dispersing potentials |
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Authors: | Rapoport Anna Rom-Kedar Vered |
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Affiliation: | Weizmann Institute of Science, Israel. anna.rapoport@weizmann.ac.il |
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Abstract: | It is demonstrated numerically that smooth three degrees of freedom Hamiltonian systems that are arbitrarily close to three-dimensional strictly dispersing billiards (Sinai billiards) have islands of effective stability, and hence are nonergodic. The mechanism for creating the islands is corners of the billiards domain. |
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