REDUCIBILITY OF SLOW QUASI-PERIODIC LINEAR SYSTEMS

被引：1
|
作者：
Wu, Jian [1 ]
You, Jiangong [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 09期
关键词：
Reducibility; slow quasi-periodic linear systems; COEFFICIENTS; POTENTIALS; EQUATIONS;
D O I：
10.1090/S0002-9939-2013-11915-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we prove that the reducibility of analytic quasi-periodic linear systems close to constant is irrelevant to the size of the base frequencies. More precisely, we consider the quasi-periodic linear systems (X) over dot = (A + B(theta))X, (theta) over dot = lambda(-1)omega in C-m, where the matrix A is constant and omega is a fixed Diophantine vector, lambda is an element of R\{0}. We prove that the system is reducible for typical A if B(theta) is analytic and sufficiently small (depending on A, omega but not on lambda).
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页码：3147 / 3155
页数：9
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