IMPA

Preprint serie A 614/2008

Pinball billiards with dominated splitting

Roberto Markarian , Enrique R. Pujals , Martin Sambarino

Keywords:
billiards, dominates splitting, attractors

Abstract:
We study the dynamics of a type of nonconservative billiards where the ball is “kicked” by the wall giving a new impulse in the direction of the normal. For different types of billiard tables we study the existence of attractors with dominated splitting.

MSC 2000:
37D40    Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
37D30    Partially hyperbolic systems and dominated splittings


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