Periodic shadowing and Ω-stability

被引：0
作者：
A. V. Osipov
S. Yu. Pilyugin
S. B. Tikhomirov
机构：
[1] St. Petersburg State University,Faculty of Mathematics and Mechanics
[2] National Taiwan University,Dept. of Math.
来源：
Regular and Chaotic Dynamics | 2010年 / 15卷
关键词：
periodic shadowing; hyperbolicity; Ω-stability; 37C50; 37D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that the following three properties of a diffeomorphism f of a smooth closed manifold are equivalent: (i) f belongs to the C1-interior of the set of diffeomorphisms having the periodic shadowing property; (ii) f has the Lipschitz periodic shadowing property; (iii) f is Ω-stable.
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页码：404 / 417
页数：13
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