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
收藏
页码：77 / 86
页数：10
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