Vector fields with stably limit shadowing

被引：0

作者：

Manseob Lee

机构：

[1] Mokwon University,Department of Mathematics

来源：

Advances in Difference Equations | / 2013卷

关键词：

hyperbolic; limit shadowing; shadowing; chain transitive; transitive; Anosov;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let X be a vector field on a closed smooth manifold M. In this paper, we show that if X belongs to the C1-interior of the set of all vector fields having the limit shadowing property, then it is transitive Anosov.

引用

共 49 条

[1] Vector fields with stably limit shadowing
Lee, Manseob
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[2] Chain components with stably limit shadowing property are hyperbolic
Lee, Manseob
Park, Junmi
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[3] Chain components with stably limit shadowing property are hyperbolic
Manseob Lee
Junmi Park
Advances in Difference Equations, 2014
[4] Divergence-free vector fields with orbital shadowing
Lee, Manseob
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[5] Divergence-free vector fields with orbital shadowing
Manseob Lee
Advances in Difference Equations, 2013
[6] Structural stability of vector fields with shadowing
Lee, Keonhee
Sakai, Kazuhiro
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 232 (01) : 303 - 313
[7] HYPERBOLICITY AND TYPES OF SHADOWING FOR C1 GENERIC VECTOR FIELDS
Ribeiro, Raquel
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (07) : 2963 - 2982
[8] Divergence-free vector fields with inverse shadowing
Lee, Keonhee
Lee, Manseob
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[9] Divergence-free vector fields with inverse shadowing
Keonhee Lee
Manseob Lee
Advances in Difference Equations, 2013
[10] STRUCTURAL STABILITY OF VECTOR FIELDS WITH ORBITAL INVERSE SHADOWING
Lee, Keonhee
Lee, Zoonhee
Zhang, Yong
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (06) : 1505 - 1521

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