Equivalent conditions for hyperbolic coordinates (Q1079261)
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scientific article; zbMATH DE number 3962807
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivalent conditions for hyperbolic coordinates |
scientific article; zbMATH DE number 3962807 |
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Equivalent conditions for hyperbolic coordinates (English)
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1986
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The author proves, in particular, that a homeomorphism f of a compact metric space X has the pseudo-orbit tracing property (shadowing) and it is expansive if and only if f has hyperbolic coordinates (which are also called coordinates in the case of hyperbolic dynamical systems).
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pseudo-orbit tracing property
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hyperbolic coordinates
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axiom A
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expansiveness
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