One-to-oneness and hyperbolicity (Q2738677)
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scientific article; zbMATH DE number 1639809
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One-to-oneness and hyperbolicity |
scientific article; zbMATH DE number 1639809 |
Statements
10 March 2003
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hyperbolic sets
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hyperbolic fixed points
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return maps
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Anosov flows
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0.87934154
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0.8382629
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One-to-oneness and hyperbolicity (English)
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The paper deals with the notion of a special class of hyperbolic sets and also with the relationships between hyperbolic sets and hyperbolic fixed points; the concept of return maps was introduced for the hyperbolic sets without fixed points. The authors prove the persistence of the hyperbolicity of invariant sets and also show how it is possible to make perturbations to avoid collisions. They also generalize the famous result of Anosov \(C^2\)-flows on compact manifolds.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00044].
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