The Lorenz attractor is mixing

Commun. Math. Phys. 260 (2005) 393-401.

Stefano Luzzatto, Ian Melbourne and Frederic Paccaut


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.


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