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arxiv: math/0410231 · v1 · pith:YH55BRHV · submitted 2004-10-08 · math.DS · math-ph· math.MP

The Lorenz attractor is mixing

Stefano Luzzatto , Ian Melbourne , Frederic Paccaut This is my paper

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classification math.DS math-phmath.MP
keywords lorenzmixingattractorflowsafraimovicbykovclassclassical
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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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