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

2013, Volume 18, Number 6, pp. 697-702

Author(s): Arnaud M.

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, Volume 18, Number 6, pp. 697-702

DOI: 10.1134/S1560354713060099

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