A proof of Kolmogorov's theorem. (Q1433927)
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scientific article; zbMATH DE number 2077724
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A proof of Kolmogorov's theorem. |
scientific article; zbMATH DE number 2077724 |
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A proof of Kolmogorov's theorem. (English)
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1 July 2004
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The authors give a new proof of Kolmogorov's theorem which ensures the persistence of invariant tori under small perturbations. The paper is self-contained and includes a crash course in Hamiltonian mechanics (completed in an appendix). The authors first motivate the results, and later give the precise statements and proofs.
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Hamiltonian mechanics
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invariant tori
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KAM theory
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