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paper

The Lorenz attractor is mixing

arXiv:math/0410231 · doi:10.1007/s00220-005-1411-9

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.