A note on the KAM theorem for partially integrable Hamiltonian systems

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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.
6 pages

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Symplectic Geometry, Mathematical Physics, 37J35; 37J40, 70H08

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http://salesiana.dossiersoluciones.com/handle/123456789/65644

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211211
 http://arxiv.org/abs/math/0211211

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arXiv