Limit Sets of Convex non Elastic Billiards
Dynamical Systems
2011-04-20 v2 Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.1009.4187,
title = {Limit Sets of Convex non Elastic Billiards},
author = {Roberto Markarian and Sylvie Oliffson Kamphorst and Sonia Pinto-de-Carvalho},
journal= {arXiv preprint arXiv:1009.4187},
year = {2011}
}
Comments
Revised version - 14 pages, 8 figures (higher resolution figures avaible at http://www.mat.ufmg.br/~syok/papers)