On structural stability for semiflows (Q1112401)
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scientific article; zbMATH DE number 4078314
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On structural stability for semiflows |
scientific article; zbMATH DE number 4078314 |
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On structural stability for semiflows (English)
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1988
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The property of structural stability is investigated for semiflows on Banach spaces. A natural (for this problem) topology on the class of all semiflows is described. The notions of hyperbolicity, Anosov semiflows and axiom A semiflows are studied. The main idea is to weaken both the concept of structural stability and hyperbolicity by restricting it to the global (bi-infinite) solutions, that makes possible the generalization of the classical flow theory in some way to this case.
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semiflows on Banach spaces
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hyperbolicity
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axiom A semiflows
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structural stability
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