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Perturbation theory of Hamiltonian systems with noncompact invariant surfaces - MaRDI portal

Perturbation theory of Hamiltonian systems with noncompact invariant surfaces (Q1111789)

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scientific article; zbMATH DE number 4076709
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Perturbation theory of Hamiltonian systems with noncompact invariant surfaces
scientific article; zbMATH DE number 4076709

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    Perturbation theory of Hamiltonian systems with noncompact invariant surfaces (English)
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    1988
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    The analytical aspects are discussed of the classical perturbation theory of Hamiltonian systems for the case where the perturbation function is the sum of real exponents. The necessary conditions are formulated of complete integrability of disturbed Hamiltonian systems. General results are applied to a study of the integrability of generalized Toda chains.
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    Liouville theorem
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    classical perturbation theory of Hamiltonian systems
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    complete integrability
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    integrability of generalized Toda chains
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