Communications in Mathematical Physics

, Volume 260, Issue 2, pp 393–401

The Lorenz Attractor is Mixing

  • Stefano Luzzatto
  • Ian Melbourne
  • Frederic Paccaut

DOI: 10.1007/s00220-005-1411-9

Cite this article as:
Luzzatto, S., Melbourne, I. & Paccaut, F. Commun. Math. Phys. (2005) 260: 393. doi:10.1007/s00220-005-1411-9


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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Stefano Luzzatto
    • 1
  • Ian Melbourne
    • 2
  • Frederic Paccaut
    • 3
  1. 1.Department of MathematicsImperial College LondonU.K
  2. 2.Department of Mathematics and StatisticsUniversity of SurreyGuildfordU.K
  3. 3.LAMFA CNRS UMR 6140University of PicardieAmiensFrance