Normal Form for Families of Hamiltonian Systems  

作　　者：Zhi Guo WANG 

机构地区：[1]Department of Mathematics,Nanjing University [2]School of Mathematical Sciences,Suzhou University

出　　处：《Acta Mathematica Sinica,English Series》2007年第7期1199-1216,共18页数学学报（英文版）

基　　金：support by the National Natural Science Foundation of China(19925107);the Special Funds for Major State Basic Research Projects of China(973 Projects)

摘　　要：We consider perturbations of integrable Hamiltonian systems in the neighborhood of normally parabolic invariant tori. Using the techniques of KAM-theory we prove that there exists a canonical transformation that puts the Hamiltonian in normal form up to a remainder of weighted order 2d ＋ 1. And some dynamical consequences are obtained.We consider perturbations of integrable Hamiltonian systems in the neighborhood of normally parabolic invariant tori. Using the techniques of KAM-theory we prove that there exists a canonical transformation that puts the Hamiltonian in normal form up to a remainder of weighted order 2d ＋ 1. And some dynamical consequences are obtained.

关 键 词：KAM lower dimensional tori normal form resonant torus 

分 类 号：O186.11[理学—数学]