A Grobman-Hartman theorem for general nonuniform exponential dichotomies (Q841504)
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scientific article; zbMATH DE number 5604507
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Grobman-Hartman theorem for general nonuniform exponential dichotomies |
scientific article; zbMATH DE number 5604507 |
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A Grobman-Hartman theorem for general nonuniform exponential dichotomies (English)
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17 September 2009
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The Gronman-Hartman theorem is generalized to perturbations of a nonautonomous dynamics with discrete time. The authors construct topological conjugacies between the dynamics of a sequence of sufficiently small Lipschitz perturbations and the linear dynamics of the operator. Moreover, they show that all conjugacies are Hölder continuous.
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nonuniform hyperbolicity
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conjugacies
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growth rate
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