KAM-stable Hamiltonians (Q1972694)
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scientific article; zbMATH DE number 1431792
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | KAM-stable Hamiltonians |
scientific article; zbMATH DE number 1431792 |
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KAM-stable Hamiltonians (English)
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13 April 2000
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An original method of studying small perturbations of highly degenerate Hamiltonians is presented. The approach is based on embedding the perturbated Hamiltonian in a family of Hamiltonians depending on an external multidimensional parameter \(\mu\) and thus achieve full control of the frequencies. The invariant tori of the original Hamiltonian system is picked out using the fact that the invariant tori of the whole family constitute a Whitney-smooth foliation.
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nearly integrable Hamiltonian systems
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Kolmogorov-Arnold-Moser theory
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perturbation theory
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0.8969233
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0.8792207
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