A note on the KAM theorem for partially integrable Hamiltonian systems

Details A note on the KAM theorem for partially integrable Hamiltonian systems A note on the KAM theorem for partially integrable Hamiltonian systems

2002-11-13

arxiv.org/abs/math/0211211v1

Mathematics

Symplectic Geometry

6 pages

Scientific paper

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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