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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 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

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.

UDC: 514.755

MSC: 37D50, 37J50

Received: 23.08.2011



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