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Pinball billiards with dominated splitting

Published online by Cambridge University Press:  04 November 2009

ROBERTO MARKARIAN ,
ENRIQUE J. PUJALS  and
MARTÍN SAMBARINO
ROBERTO MARKARIAN
Affiliation:
Insituto de Matemática y Estadística ‘Prof. Ing. Rafael Laguardia’ (IMERL), Facultad de Ingeniería, Universidad de la República, Montevideo, Uruguay
ENRIQUE J. PUJALS
Affiliation:
IMPA-OS, Rio de Janeiro, Brasil
MARTÍN SAMBARINO
Affiliation:
Centro de Matemática, Facultad de Ciencias, Universidad de la República, Montevideo, Uruguay
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Abstract

We study the dynamics of a type of non-conservative 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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 30 , Issue 6 , December 2010 , pp. 1757 - 1786
Copyright
Copyright © Cambridge University Press 2009

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