The Lorenz attractor is mixing
Luzzatto, Stefano ; Melbourne, Ian ; Paccaut, Frederic
HAL, hal-00724558 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-10-08
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00724558,
     author = {Luzzatto, Stefano and Melbourne, Ian and Paccaut, Frederic},
     title = {The Lorenz attractor is mixing},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00724558}
}

Luzzatto, Stefano; Melbourne, Ian; Paccaut, Frederic. The Lorenz attractor is mixing. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00724558/