Non-zero Lyapunov exponents and uniform hyperbolicity

被引：47

作者：

Cao, YL ^{[1
]}

机构：

[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

NONLINEARITY | 2003年 / 16卷 / 04期

关键词：

D O I：

10.1088/0951-7715/16/4/316

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we proved that if f is a C-1 local diffeomorphism such that the Lyapunov exponents of every f invariant probability measure are positive, then f is uniformly expanding. We also present a version of this result for diffeomorphism with a non-uniformly hyperbolic set.

引用

页码：1473 / 1479

页数：7

共 7 条

[1] On the uniform hyperbolicity of some nonuniformly hyperbolic systems [J].