Localization in billiards (Q2760023)
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scientific article; zbMATH DE number 1683992
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Localization in billiards |
scientific article; zbMATH DE number 1683992 |
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2 January 2003
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dynamical localization
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autonomous Hamiltonian systems
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periodic orbit
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ergodic time
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Localization in billiards (English)
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This paper addresses the question about the existence of dynamical localization in autonomous Hamiltonian systems. The author only considers the case of bound systems for which the energy shell is a finite, compact \((2k-1)\)-dimensional set in \(2k\)-dimensional phase space. The author is interested in such bound systems, which besides \(t_1\) \((t_1\) may also be the period of the shortest periodic orbit in the system) possess another completely different time scale \(t_E\), \(t_E\gg t_1\), namely the ergodic time.NEWLINENEWLINEFor the entire collection see [Zbl 0972.00065].
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