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