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

DOI10.1134/S1560354713060099zbMath1417.37094arXiv1409.5201MaRDI QIDQ2449296

Marie-Claude Arnaud

Publication date: 7 May 2014

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5201

zbMATH Keywords

periodic pointsbilliard maptwist mapclosing lemma

Mathematics Subject Classification ID

Related Items (2)

Control of autoresonance in mechanical and physical models ⋮ The closing lemma and the planar general density theorem for Sobolev maps

Cites Work

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• Convex billiards
• Periodic bounce trajectories with a low number of bounce points
• Closing geodesics in \(C^1\) topology
• Billiard map and rigid rotation
• The C¹ Closing Lemma, including Hamiltonians
• The growth rate of trajectories of a quadratic differential
• On Devaney's Definition of Chaos
• Periodic billiard orbits are dense in rational polygons
• Le «closing lemma» en topologie $C^1$

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