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The Lorenz attractor is mixing

Stefano Luzzatto·Ian Melbourne·Frederic Paccaut
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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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Stefano Luzzatto, Ian Melbourne, Frederic Paccaut. 2004-10-08. The Lorenz attractor is mixing. https://doi.org/10.1007/s00220-005-1411-9

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