2004/10/08 by Stefano Luzzatto, Ian Melbourne, Frederic Paccaut · 1 citation
Mathematics · Physics and Astronomy · #math.DS #math-ph #math.MP #msc:37D50 #msc:37A25
paper · pdf · doi:10.1007/s00220-005-1411-9
published as Communications in Mathematical Physics 260 (2005), no. 2, 393-401
arxiv created 2004/10/08 · arxiv updated 2012/11/07
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.