The Lorenz attractor is mixing
Dynamical Systems
2012-11-07 v1 Mathematical Physics
math.MP
Abstract
We study a class of geometric Lorenz flows, introduced independently by Afraimovic, Bykov & Sil'nikov and by Guckenheimer & Williams, and give a verifiable condition for such flows to be mixing. As a consequence, we show that the classical Lorenz attractor is mixing.
Keywords
Cite
@article{arxiv.math/0410231,
title = {The Lorenz attractor is mixing},
author = {Stefano Luzzatto and Ian Melbourne and Frederic Paccaut},
journal= {arXiv preprint arXiv:math/0410231},
year = {2012}
}