Examples of Minimal Diffeomorphisms on $t^{2}$ Semiconjugated to an Ergodic Translation
Dynamical Systems
2012-08-14 v4
Abstract
We prove that for every there exists a minimal diffeomorphism of class and semiconjugate to an ergodic traslation, and have the following properties: zero entropy, sensitivity with respect to initial conditions and Li-Yorke chaos. These examples are obtained through the holonomy of the unstable foliation of Ma\~{n}\'e's example of derived from Anosov diffeomorphism on
Keywords
Cite
@article{arxiv.1009.0485,
title = {Examples of Minimal Diffeomorphisms on $t^{2}$ Semiconjugated to an Ergodic Translation},
author = {Alejandro Passeggi and Martin Sambarino},
journal= {arXiv preprint arXiv:1009.0485},
year = {2012}
}