Vector fields with stable shadowable property on closed surfaces (Q606293)

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scientific article; zbMATH DE number 5816564
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Vector fields with stable shadowable property on closed surfaces
scientific article; zbMATH DE number 5816564

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    Vector fields with stable shadowable property on closed surfaces (English)
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    17 November 2010
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    The aim of the author in this paper is to prove that any vector field on a closed surface satisfying the \(C^1\) stable shadowable property is Morse-Smale. A corollary is that the vector fields satisfying the shadowing property on closed surfaces are \(C^1\) dense.
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    pseudo orbit
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    shadowing
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    stable shadowable
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    Morse-smale vector field
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