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

[1] Rapid decay of correlations for nonuniformly hyperbolic flows
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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (05) : 2421 - 2441
[2] Exponential Decay of Correlations for Nonuniformly Hyperbolic Flows with a C1+α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{C^{1+\alpha}}}$$\end{document} Stable Foliation, Including the Classical Lorenz Attractor
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Annales Henri Poincaré, 2016, 17 (11) : 2975 - 3004
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[7] Statistical Properties for Flows with Unbounded Roof Function, Including the Lorenz Attractor
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[8] Lorenz-like flows: exponential decay of correlations for the Poincare map, logarithm law, quantitative recurrence
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[10] Robust Exponential Decay of Correlations for Singular-Flows
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