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.

引用

页码：2975 / 3004

页数：30

共 24 条

[21] Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation
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ADVANCES IN MATHEMATICS, 2019, 349 : 212 - 245
[22] Holder regularity and exponential decay of correlations for a class of piecewise partially hyperbolic maps
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NONLINEARITY, 2020, 33 (12) : 6790 - 6818
[23] Exponential decay of correlations for surface semi-flows without finite Markov partitions
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[24] Robust Exponential Decay of Correlations for Singular-Flows (vol 311, pg 215, 2012)
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