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Physica D. Nonlinear Phenomena, 2013, Volume 255, Pages 31–34
DOI: https://doi.org/10.1016/j.physd.2013.04.003 (Mi physd1) 		 
This article is cited in 26 scientific papers (total in 26 papers)

Billiard map and rigid rotation

D. Treschev

Steklov Mathematical Institute, Moscow, Russia
Citations (26)
DOI: https://doi.org/10.1016/j.physd.2013.04.003
Abstract: Can a billiard map be locally conjugated to a rigid rotation? We prove that the answer to this question is positive in the category of formal series. We also present numerical evidence that for “good” rotation angles the answer is also positive in an analytic category.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation NSh-2519.2012.1
Russian Foundation for Basic Research 12-01-00441
Russian Academy of Sciences - Federal Agency for Scientific Organizations
The research is supported by the grants NSh-2519.2012.1, RFBR grant 12-01-00441—and the program of Russian Academy of Science ‘‘Dynamical systems and Control theory’’.
Received: 13.03.2013
Revised: 10.04.2013
Accepted: 13.04.2013
Bibliographic databases:
Document Type: Article
Language: English
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    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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