Structural stability of vector fields with shadowing
Structural stability of vector fields with shadowing
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DOI：
10.1016/j.jde.2006.08.012
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发表时间：
2007
影响因子：
2.4
通讯作者：
Keonhee Lee;K. Sakai
中科院分区：
文献类型：
--
作者：
Keonhee Lee;K. Sakai
设X是无奇点的C1向量场。本文证明了X在具有跟踪性的向量场集合的C1内部当且仅当X同时满足公理A和强横截性条件，即X是结构稳定的.
Let X be a C1vector field without singularities. In this paper, we show that X is in the C1interior of the set of vector fields with the shadowing property if and only if X satisfies both Axiom A and the strong transversality condition; that is, X is structurally stable.