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A note on the KAM theorem for partially integrable Hamiltonian systems

G. Giachetta·L. Mangiarotti·G. Sardanashvily
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Abstract

We provide a symplectic reduction of a partially integrable Hamiltonian system to a completely integrable one. The KAM theorem is applied to this reduced completely integrable Hamiltonian system. Its KAM perturbation generates a perturbation of the original partially integrable system such that the set of tori kept by this perturbation is large.

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BibTeXRIS

G. Giachetta, L. Mangiarotti, G. Sardanashvily. 2002-11-13. A note on the KAM theorem for partially integrable Hamiltonian systems. https://arxiv.org/abs/math/0211211

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