Focusing components in typical chaotic billiards should be absolutely focusing (Q981696)
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scientific article; zbMATH DE number 5729769
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Focusing components in typical chaotic billiards should be absolutely focusing |
scientific article; zbMATH DE number 5729769 |
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Focusing components in typical chaotic billiards should be absolutely focusing (English)
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2 July 2010
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The authors demonstrate that the focusing mechanism fails to work if not all focusing components of the boundary are absolutely focusing. Thus, the only known procedure to construct chaotic ergodic filliards works only if all focusing boundary components are absolutely focusing. Four main theorems are presented.
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focusing components
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absolutely focusing components
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chaotic ergodic billiards
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