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.

引用

页数：17

共 23 条

[21] Quasi-periodic solutions and stability of the equilibrium for quasi-periodically forced planar reversible and Hamiltonian systems under the Bruno condition
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Si, Jianguo
NONLINEARITY, 2010, 23 (03) : 555 - 577
[22] A frequency-domain formulation for predicting multi-frequency noise generated by flows with periodically moving boundaries
Zhou, Zhiteng
Wang, Hongping
Zang, Zhenyu
Wang, Shizhao
JOURNAL OF THEORETICAL AND COMPUTATIONAL ACOUSTICS, 2023, 31 (01):
[23] RESPONSE SOLUTIONS TO QUASI-PERIODICALLY FORCED SYSTEMS, EVEN TO POSSIBLY ILL-POSED PDES, WITH STRONG DISSIPATION AND ANY FREQUENCY VECTORS
Wang, Fenfen
de la Llave, Rafael
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 52 (04) : 3149 - 3191

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