Systems admitting polynomial integrals of third and forth degrees (the case of elastic reflections) (Q1851550)
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scientific article; zbMATH DE number 1851323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Systems admitting polynomial integrals of third and forth degrees (the case of elastic reflections) |
scientific article; zbMATH DE number 1851323 |
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Systems admitting polynomial integrals of third and forth degrees (the case of elastic reflections) (English)
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8 January 2003
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The paper addresses the dynamical system with elastic reflections in the domain diffeomorphic to disk. The author presents the examples of billiards with irreducible polynomial integrals of the third and forth order. The dynamics of the obtained systems of differential equations is studied by means of the Poincaré method of cross-sections.
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systems with elastic reflections
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polynomial integrals
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