Topological entropy of Lorenz-like flows
Dynamical Systems
2014-12-04 v1
Abstract
We use entropy theory as a new tool for studying Lorenz-like classes of flows in any dimension. More precisely, we show that every Lorenz-like class is entropy expansive, and has positive entropy which varies continuously with vector fields. We deduce that every such class contains a transverse homoclinic orbit and, generically, is an attractor.
Keywords
Cite
@article{arxiv.1412.1207,
title = {Topological entropy of Lorenz-like flows},
author = {Jiagang Yang},
journal= {arXiv preprint arXiv:1412.1207},
year = {2014}
}