Structural stability of vector fields with shadowing |
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| Authors: | Keonhee Lee Kazuhiro Sakai |
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| Institution: | a Department of Mathematics, Chungnam National University, Daejeon 305-764, Republic of Korea
b Department of Mathematics, Utsunomiya University, Utsunomiya 321-8505, Japan |
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| Abstract: | Let X be a C1 vector field without singularities. In this paper, we show that X is in the C1 interior 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. |
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| Keywords: | primary 37Cxx secondary 37Dxx |
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