Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors (Q1194214)
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scientific article; zbMATH DE number 63928
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors |
scientific article; zbMATH DE number 63928 |
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Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors (English)
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27 September 1992
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New proofs of the results on estimates for the Hausdorff dimension of strange attractors are presented. Then the authors demonstrate their methods in the case of generalized Lorenz systems and Rössler systems. Finally, the authors apply the main theorems concerning generalized Lorenz systems to concrete examples of physical systems.
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Lyapunov function
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stability
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chaos
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Hausdorff dimension
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strange attractors
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