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Phys. D, 2013, Volume 255, Pages 31–34 (Mi physd1)  

Billiard map and rigid rotation

D. Treschev

Steklov Mathematical Institute, Moscow, Russia

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’’.


DOI: https://doi.org/10.1016/j.physd.2013.04.003


Bibliographic databases:

Document Type: Article
Received: 13.03.2013
Revised: 10.04.2013
Accepted:13.04.2013
Language: English

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