Various shadowing properties for positively expansive maps (Q1398187)
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scientific article; zbMATH DE number 1955982
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Various shadowing properties for positively expansive maps |
scientific article; zbMATH DE number 1955982 |
Statements
Various shadowing properties for positively expansive maps (English)
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29 July 2003
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This paper is devoted to various shadowing properties for a positively expansive map on a compact metrizable space. The author shows that the Lipschitz shadowing property, the \(s\)-limit shadowing property and the strong shadowing property are all equivalent to the (usual) shadowing property for a positively expansive map. Moreover, for a positively expansive open map, the average shadowing property is shown.
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average shadowing
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compact metrizable space
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expanding
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limit shadowing
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\(s\)-limit shadowing
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Lipschitz shadowing
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pseudo-orbit
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strong shadowing
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positively expansive map
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0.90247625
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0.8987197
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0.8924296
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