2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65644We 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 pagesSymplectic GeometryMathematical Physics37J35; 37J40, 70H08A note on the KAM theorem for partially integrable Hamiltonian systemstext