Two-dimensional invariant tori in the neighborhood of an elliptic equilibrium of Hamiltonian systems (Q839768)
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scientific article; zbMATH DE number 5601629
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-dimensional invariant tori in the neighborhood of an elliptic equilibrium of Hamiltonian systems |
scientific article; zbMATH DE number 5601629 |
Statements
Two-dimensional invariant tori in the neighborhood of an elliptic equilibrium of Hamiltonian systems (English)
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3 September 2009
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Hamiltonian systems in \(\mathbb{R}^{2n}\) are shown to possess, in the neighbourhood of an elliptic equilibrium, either a four-dimensional invariant disc or an invariant Cantor set with a positive \((n+2)\)-dimensional Lebesgue measure. The assumptions are related to small divisors conditions.
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Hamiltonian systems
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planar invariant tori
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elliptic equilibrium
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small divisors
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