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Regular and Chaotic Dynamics, 2013, Volume 18, Issue 6, Pages 697–702
DOI: https://doi.org/10.1134/S1560354713060099 (Mi rcd162) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

Marie-Claude Arnaud

Avignon University, LMA, EA 2151 F-84000, Avignon, France Membre de l’Institut universitaire de France
Citations (2)
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DOI: https://doi.org/10.1134/S1560354713060099
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.
Received: 18.07.2013
Accepted: 10.10.2013
Bibliographic databases:
Document Type: Article
MSC: 37C20, 37C25, 37E40
Language: English
Citation: Marie-Claude Arnaud, “$C^1$-generic Billiard Tables have a Dense Set of Periodic Points”, Regul. Chaotic Dyn., 18:6 (2013), 697–702
Citation in format AMSBIB
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\by Marie-Claude Arnaud
\paper $C^1$-generic Billiard Tables have a Dense Set of Periodic Points
\jour Regul. Chaotic Dyn.
\yr 2013
\vol 18
\issue 6
\pages 697--702
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\crossref{https://doi.org/10.1134/S1560354713060099}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3146587}
\zmath{https://zbmath.org/?q=an:06292768}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000329108900009}
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  • https://www.mathnet.ru/eng/rcd/v18/i6/p697
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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