LINEARIZATION OF MULTI-FREQUENCY QUASI-PERIODICALLY FORCED CIRCLE FLOWS BEYOND BRJUNO CONDITION

被引：0
|
作者：
Liang, Ziyang [1 ]
Jin, Taian [1 ]
Wang, Jiayi [1 ]
Shan, Yuan [2 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Sci, Dept Math, Nanjing 210094, Peoples R China
[2] Nanjing Audit Univ, Sch Stat & Math, Nanjing 210029, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年
基金：
中央高校基本科研业务费专项资金资助; 美国国家科学基金会;
关键词：
Linearization; quasi-periodically forced circle flow; Liouvillean frequency;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we considered the linearization of analytic quasiperiodically forced circle flows. We generalized the rotational linearization of systems with two-dimensional base frequency to systems with any finite dimensional base frequency case. Meanwhile, we relaxed the arithmetical limitations on the base frequencies. Our proof is based on a generalized Kolmogorov-Arnold-Moser (KAM) scheme.
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页数：17
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