Chain components with stably limit shadowing property are hyperbolic

被引：0
作者：
Manseob Lee
Junmi Park
机构：
[1] Mokwon University,Department of Mathematics
[2] Chungnam National University,Department of Mathematics
来源：
Advances in Difference Equations | / 2014卷
关键词：
hyperbolic; limit shadowing; shadowing; homoclinic class; chain component;
D O I：
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摘要：
Let f be a diffeomorphism on a closed smooth manifold M. In this paper, we show that f has the C1-stably limit shadowing property on the chain component Cf(p) of f containing a hyperbolic periodic point p, if and only if Cf(p) is a hyperbolic basic set.
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