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C^1-generic billiard tables have a dense set of periodic points

Abstract : We prove that the set of periodic points of a generic C^1-billiard table is dense in the phase space.
keyword : billiard
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https://hal-univ-avignon.archives-ouvertes.fr/hal-01065123
Contributor : Marie-Claude Arnaud <>
Submitted on : Wednesday, September 17, 2014 - 10:18:18 PM
Last modification on : Tuesday, January 14, 2020 - 10:38:15 AM
Long-term archiving on: : Thursday, December 18, 2014 - 12:05:15 PM

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  • HAL Id : hal-01065123, version 1
  • ARXIV : 1409.5201

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Marie-Claude Arnaud. C^1-generic billiard tables have a dense set of periodic points. Regular and Chaotic Dynamics, MAIK Nauka/Interperiodica, 2013, 18 (6), pp.697-702. ⟨hal-01065123⟩

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