On the stability of normally hyperbolic sets of smooth flows. (Q1432546)
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scientific article; zbMATH DE number 2074818
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stability of normally hyperbolic sets of smooth flows. |
scientific article; zbMATH DE number 2074818 |
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On the stability of normally hyperbolic sets of smooth flows. (English)
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15 June 2004
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In continuation of the authors' works [Dokl. Math. 53, 23--24 (1996; Zbl 0894.34048); J. Differ. Equations 149, 1--51 (1998; Zbl 0908.34036)], they consider the stability problem of a closed bounded connected invariant set \(K\) of the autonomous system of differential equations \(\frac{dx}{dt}=X(x)\), \(x,X\in \mathbb{R}^n\), \(X\in C^1(\mathbb{R}^n)\), with respect to small perturbations.
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smooth flow
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closed bounded invariant set
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stability problem
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