An improved result for positive measure reducibility of quasi-periodic linear systems

被引：5

作者：

He, HL ^{[1
]}

You, JG ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2006年 / 22卷 / 01期

基金：

中国国家自然科学基金;

关键词：

quasi-periodic; reducibility; KAM; non-degeneracy;

D O I：

10.1007/s10114-004-0473-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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(lambda) + F(rho, lambda))X, (rho)over dot = omega where the parameter lambda is an element of (a, b), omega is a fixed Diophantine vector, which is a generalization of Jorba & Simo's positive measure reducibility result.

引用

页码：77 / 86

页数：10

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