Marie-Claude Arnaud

Address: LMA, EA 2151 F-84000, Avignon, France

E-mail: Marie-Claude.Arnaud@univ-avignon.fr

University: Avignon University

Publications:

Arnaud M.

$C^1$-generic Billiard Tables have a Dense Set of Periodic Points
2013, vol. 18, no. 6, pp. 697-702

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

Citation: Arnaud M., $C^1$-generic Billiard Tables have a Dense Set of Periodic Points, Regular and Chaotic Dynamics, 2013, vol. 18, no. 6, pp. 697-702

DOI:10.1134/S1560354713060099

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