, Volume 260, Issue 2, pp 393-401
Date: 09 Aug 2005

The Lorenz Attractor is Mixing

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Abstract

We study a class of geometric Lorenz flows, introduced independently by Afraimovič, 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.

Communicated by G. Gallavotti