Average shadowing property for volume preserving diffeomorphisms (Q2837906)
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scientific article; zbMATH DE number 6184898
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Average shadowing property for volume preserving diffeomorphisms |
scientific article; zbMATH DE number 6184898 |
Statements
8 July 2013
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average shadowing property
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volume-preserving diffeomorphisms
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Anosov
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0.9814335
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0.9185718
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0.90870893
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0.90245956
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0.8998419
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0.8998364
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0.89754754
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Average shadowing property for volume preserving diffeomorphisms (English)
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Let \(M\) be a two-dimensional \(C^\infty\) manifold. The author proves that if a volume-preserving diffeomorphism \(f\) of \(M\) is in the \(C^1\)-interior of the space of volume-preserving diffeomorphisms satisfying the average shadowing property (with respect to the \(C^1\)-topology), then \(f\) is Anosov.
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