On the Structure of Lorenz Maps
Dynamical Systems
2014-02-13 v1
Abstract
We study the non-wandering set of contracting Lorenz maps with negative Schwarzian derivative. We show that if doesn't have attracting periodic orbit, then there is a unique topological attractor. Precisely, there is a transitive compact set such that for a residual set of points . We also develop in the context of Lorenz maps the classical theory of spectral decomposition constructed for Axiom A maps by Smale.
Cite
@article{arxiv.1402.2862,
title = {On the Structure of Lorenz Maps},
author = {Paulo Brandão},
journal= {arXiv preprint arXiv:1402.2862},
year = {2014}
}