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

作     者：Hai Long HE Jian Gong YOU 

作者机构：Department of Mathcmatics Nanjing University Nanjing 210093 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2006年第22卷第1期

页      面：77-86页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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) 

主　　题：Quasi-periodic Reducibility KAM Non-degeneracy 

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.