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 50 条

[1] Vector fields with stably limit shadowing
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[2] Chain components with stably limit shadowing property are hyperbolic
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[3] Chain components with stably limit shadowing property are hyperbolic
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[4] PERIODIC SHADOWING OF VECTOR FIELDS
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[6] Vector fields with the oriented shadowing property
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[7] ORIENTED AND ORBITAL SHADOWING FOR VECTOR FIELDS
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[8] Structural stability of vector fields with shadowing
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[9] Oriented Shadowing Property and -Stability for Vector Fields
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[10] Divergence-free vector fields with inverse shadowing
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