Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas (Q2018036)

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scientific article; zbMATH DE number 6418918
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English
Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
scientific article; zbMATH DE number 6418918

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    Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas (English)
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    24 March 2015
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    The present paper studies the singularities of a billiard in a plane, compact, not necessary convex domain bounded by confocal quadrics (ellipses and hyperbolas). A complete Liouville classification of these billiards is obtained and certain interesting generalizations are discussed.
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    singularities for billiard systems
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    confocal ellipses
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    confocal hyperbolas
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