Limit sets of convex non-elastic billiards

Limit sets of convex non-elastic billiards

Inspired by the work of Pujals and Sambarino on dominated splitting [E.R. Pujals and M. Sambarino, On the dynamics of dominated splitting, Ann. Math. 169 (2009), pp. 675-740], we present billiards with a modified reflection law which constitute simple examples of dynamical systems with limit sets ha...

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Veröffentlicht in:Dynamical systems (London, England) England), 2012-06, Vol.27 (2), p.271-282
Hauptverfasser: Markarian, Roberto, Kamphorst, Sylvie Oliffson, Pinto-de-Carvalho, Sônia
Format: Artikel
Sprache:eng
Schlagworte:
dominated splitting
Dynamical systems
Dynamics
Law
non-elastic billiards
Reflection
Splitting
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Zusammenfassung:Inspired by the work of Pujals and Sambarino on dominated splitting [E.R. Pujals and M. Sambarino, On the dynamics of dominated splitting, Ann. Math. 169 (2009), pp. 675-740], we present billiards with a modified reflection law which constitute simple examples of dynamical systems with limit sets having dominated splitting and where the dynamics is a rational or irrational rotation.
ISSN:1468-9367
1468-9375
DOI:10.1080/14689367.2012.669468