Lipschitz shadowing implies structural stability

被引：41

作者：

Pilyugin, Sergei Yu ^{[1
]}

Tikhomirov, Sergey ^{[2
]}

机构：

[1] St Petersburg State Univ, Fac Math & Mech, St Petersburg 198504, Russia

[2] Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan

来源：

NONLINEARITY | 2010年 / 23卷 / 10期

关键词：

EXPONENTIAL DICHOTOMIES;

D O I：

10.1088/0951-7715/23/10/009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Lipschitz shadowing property of a diffeomorphism is equivalent to structural stability. As a corollary, we show that an expansive diffeomorphism having the Lipschitz shadowing property is Anosov.

引用

页码：2509 / 2515

页数：7

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