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arxiv: 1009.4187 · v2 · pith:NR33YG7Nnew · submitted 2010-09-21 · 🧮 math.DS · nlin.CD

Limit Sets of Convex non Elastic Billiards

classification 🧮 math.DS nlin.CD
keywords billiardsdominatedlimitsetssplittingconstituteconvexdynamical
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Inspired by the work of Pujals and Sambarino on dominated splitting, we present billiards with a modified reflection law which constitute simple examples of dynamical systems with limit sets with dominated splitting and where the dynamics is a rational or irrational rotation.

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