Diffeomorphisms with shadowable measures (Q2305962)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diffeomorphisms with shadowable measures |
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Diffeomorphisms with shadowable measures (English)
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20 March 2020
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Summary: In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing property from the measure theoretical view point, and the set of diffeomorphisms satisfying the notion is considered. The dynamics of the \(C^1\)-interior of the set of diffeomorphisms possessing the shadowable measures is characterized as the uniform hyperbolicity.
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shadowing property
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pseudo-orbit
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shadowable measure
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axiom A
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no-cycle condition
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strong transversality condition
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