This article is cited in 2 papers

$C^1$-generic Billiard Tables have a Dense Set of Periodic Points

Marie-Claude Arnaud

Avignon University, LMA, EA 2151 F-84000, Avignon, France Membre de l’Institut universitaire de France

Abstract: We prove that the set of periodic points of a generic $C^1$-billiard table is dense in the phase space.

Keywords: billiard map, closing lemma, periodic points, twist map.

MSC: 37C20, 37C25, 37E40

Received: 18.07.2013
Accepted: 10.10.2013

Language: English

DOI: 10.1134/S1560354713060099

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