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Hyperbolic outer billiards: a first example

Daniel Genin

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Recommended by L Bunimovich

We present the first example of a hyperbolic outer billiard. More precisely we construct a one-parameter family of examples which in some sense corresponds to the Bunimovich billiards.


PACS

05.45.Ac Low-dimensional chaos

MSC

37E40 Twist maps

37D50 Hyperbolic systems with singularities (billiards, etc.)

Subjects

Statistical physics and nonlinear systems

Dates

Issue 6 (June 2006)

Received 29 November 2005, in final form 10 April 2006

Published 15 May 2006



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