An Improved Result for Positive Measure Reducibility of Quasi-periodic Linear Systems  

作　　者：Hai Long HE Jian Gong YOU 

机构地区：[1]Department of Mathcmatics Nanjing University, Nanjing 210093, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2006年第1期77-86,共10页数学学报（英文版）

基　　金：The work is supported by the National Natural Science Foundation of China （19925107） and the Special Funds for Major State Basic Research Projects （973 Projects）

摘　　要：In this paper, by the KAM method, under weaker small denominator conditions and nondegeneracy conditions, we prove a positive measure reducibility for quasi-periodic linear systems close to constant： X = （A（λ） ＋ F（ψ, λ））X, ψ=ωwhere the parameter λ∈ （a, b）, w is a fixed Diophantine vector, which is a generalization of jorba ＆ Simo＇s positive measure reducibility result.In this paper, by the KAM method, under weaker small denominator conditions and nondegeneracy conditions, we prove a positive measure reducibility for quasi-periodic linear systems close to constant： X = （A（λ） ＋ F（ψ, λ））X, ψ=ωwhere the parameter λ∈ （a, b）, w is a fixed Diophantine vector, which is a generalization of jorba ＆ Simo＇s positive measure reducibility result.

关 键 词：QUASI-PERIODIC REDUCIBILITY KAM NON-DEGENERACY 

分 类 号：O156.7[理学—数学]