Limit Sets of Convex non Elastic Billiards

Details Limit Sets of Convex non Elastic Billiards Limit Sets of Convex non Elastic Billiards

2010-09-21

arxiv.org/abs/1009.4187v2

Mathematics

Dynamical Systems

Revised version - 14 pages, 8 figures (higher resolution figures avaible at http://www.mat.ufmg.br/~syok/papers)

Scientific paper

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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