Limit Sets of Convex non Elastic Billiards
arXiv:1009.4187
Abstract
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.
Revised version - 14 pages, 8 figures (higher resolution figures avaible at http://www.mat.ufmg.br/~syok/papers)