Exponential Decay of Correlations for Nonuniformly Hyperbolic Flows with a Stable Foliation, Including the Classical Lorenz Attractor

被引：0
|
作者：
Araujo, Vitor [1 ]
Melbourne, Ian [2 ]
机构：
[1] Univ Fed Bahia, Dept Matemat, Ave Ademar de Barros S-N, BR-40170110 Salvador, BA, Brazil
[2] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England
来源：
ANNALES HENRI POINCARE | 2016年 / 17卷 / 11期
关键词：
ANOSOV-FLOWS; MAPS;
D O I：
10.1007/s00023-016-0482-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove exponential decay of correlations for a class of uniformly hyperbolic skew product flows, subject to a uniform nonintegrability condition. In particular, this establishes exponential decay of correlations for an open set of geometric Lorenz attractors. As a special case, we show that the classical Lorenz attractor is robustly exponentially mixing.
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页码：2975 / 3004
页数：30
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