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

Marie-Claude Arnaud

Journal Articles Regular and Chaotic Dynamics Year : 2013

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

(1)

Marie-Claude Arnaud

Function : Author
PersonId : 894374

EA2151 Laboratoire de Mathématiques d'Avignon

Abstract

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

Keywords

billiard

Domains

Mathematics [math] Dynamical Systems [math.DS]

Fichier principal

densitegeneorbbillardplan2013ter.pdf (114.41 Ko)

Origin : Files produced by the author(s)

Marie-Claude Arnaud : Connect in order to contact the contributor

https://hal-univ-avignon.archives-ouvertes.fr/hal-01065123

Submitted on : Wednesday, September 17, 2014-10:18:18 PM

Last modification on : Tuesday, February 22, 2022-11:36:03 AM

Long-term archiving on: Thursday, December 18, 2014-12:05:15 PM

Dates and versions

hal-01065123 , version 1 (17-09-2014)

Identifiers

HAL Id : hal-01065123 , version 1
ARXIV : 1409.5201

Cite

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⟩

Export

BibTeX TEI Dublin Core DC Terms EndNote Datacite

Collections

UNIV-AVIGNON INSMI TDS-MACS LMA-UAPV

141 View

178 Download

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

Abstract

Keywords

Domains

Dates and versions

Identifiers

Cite

Export

Collections

Altmetric

Share