Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 3, Pages 489–512 (Mi nd272)  
Billiard dynamics: A survey with the emphasis on open problems

Eugene Gutkinab

a Department of Mathematics, Nicolaus Copernicus University, Chopina 12/18, 87-100 Torun, Poland
b IM PAN, Sniadeckich 8, Warszawa 10, Poland
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Abstract: The survey of the subject, emphasizing the open problems.
Keywords: billiard flow, billiard map, periodic orbits, elliptic dynamics, hyperbolic dynamics, parabolic dynamics, Birkhoff conjecture, phase locking, security.
Received: 23.08.2011
Document Type: Article
UDC: 514.755
MSC: 37D50, 37J50
Language: Russian
Citation: Eugene Gutkin, “Billiard dynamics: A survey with the emphasis on open problems”, Nelin. Dinam., 7:3 (2011), 489–512
Citation in format AMSBIB
\Bibitem{Gut11}
\by Eugene Gutkin
\paper Billiard dynamics: A survey with the emphasis on open problems
\jour Nelin. Dinam.
\yr 2011
\vol 7
\issue 3
\pages 489--512
\mathnet{http://mi.mathnet.ru/nd272}
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  • https://www.mathnet.ru/eng/nd/v7/i3/p489
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    		Нелинейная динамика
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