A note on the KAM theorem for partially integrable Hamiltonian systems
classification
🧮 math.SG
math-phmath.MP
keywords
integrablehamiltonianpartiallyperturbationsystemcompletelytheoremapplied
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.