Remarks on the definition of hyperbolic tori of Hamiltonian systems (Q5938501)
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scientific article; zbMATH DE number 1622473
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on the definition of hyperbolic tori of Hamiltonian systems |
scientific article; zbMATH DE number 1622473 |
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Remarks on the definition of hyperbolic tori of Hamiltonian systems (English)
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22 July 2001
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The authors propose an invariant definition of hyperbolic tori of Hamiltonian systems. As compared to known definitions, this definition does not require the existence of normal form of Hamiltonian function in a neighborhood of the torus. Based on this definition, the authors develop a general theory of hyperbolic tori in the spirit of KAM theory.
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KAM theory
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hyperbolic torus
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Hamiltonian systems
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