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

Marie-Claude Arnaud (1)

1 LMA - EA2151 Laboratoire de Mathématiques d'Avignon

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

Mots clés: billiard

Domaines: Systèmes dynamiques [math.DS]

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