A note on the KAM theorem for partially integrable Hamiltonian systems
辛几何
2007-05-23 v1 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0211211,
title = {A note on the KAM theorem for partially integrable Hamiltonian systems},
author = {G. Giachetta and L. Mangiarotti and G. Sardanashvily},
journal= {arXiv preprint arXiv:math/0211211},
year = {2007}
}
备注
6 pages