Dynamics of iterated function systems on the circle close to rotations
Dynamical Systems
2015-07-17 v2
Abstract
We study the dynamics of iteration function systems generated by a pair of circle diffeomorphisms close to rotations in the -topology. We characterize the obstruction to minimality and describe the limit set. In particular, there are no invariant minimal Cantor sets, which can be seen as a Denjoy/Duminy type theorem for iterated systems on the circle.
Cite
@article{arxiv.1303.2521,
title = {Dynamics of iterated function systems on the circle close to rotations},
author = {Pablo G. Barrientos and Artem Raibekas},
journal= {arXiv preprint arXiv:1303.2521},
year = {2015}
}