Robust Transitivity for Endomorphisms
Dynamical Systems
2012-03-20 v2
Abstract
We address the problem about under what conditions an endomorphism having a dense orbit, verifies that a sufficiently close perturbed map also exhibits a dense orbit. In this direction, we give sufficient conditions, that cover a large class of examples, for endomorphisms on the n-dimensional torus to be robustly transitive: the endomorphism must be volume expanding and any large connected arc must contain a point such that its future orbit belong to an expanding region.
Cite
@article{arxiv.1201.4806,
title = {Robust Transitivity for Endomorphisms},
author = {Cristina Lizana and Enrique Pujals},
journal= {arXiv preprint arXiv:1201.4806},
year = {2012}
}
Comments
32 pages, 13 figures