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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.

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Authors and Affiliations

  1. Department of Mathematics, Imperial College London, SW7 2AZ, U.K

    Stefano Luzzatto

  2. Department of Mathematics and Statistics, University of Surrey, Guildford, GU2 5XH, U.K

    Ian Melbourne

  3. LAMFA CNRS UMR 6140, University of Picardie, 33, rue Saint Leu, 80039, Amiens, France

    Frederic Paccaut

Authors
  1. Stefano Luzzatto
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  2. Ian Melbourne
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  3. Frederic Paccaut
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Communicated by G. Gallavotti

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Luzzatto, S., Melbourne, I. & Paccaut, F. The Lorenz Attractor is Mixing. Commun. Math. Phys. 260, 393–401 (2005). https://doi.org/10.1007/s00220-005-1411-9

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  • DOI: https://doi.org/10.1007/s00220-005-1411-9

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