Response solutions of 2-dimensional degenerate systems under quasi-periodic perturbations

被引：2
|
作者：
Ma, Zhichao [1 ,2 ]
Qu, Ru [1 ]
Xu, Junxiang [1 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[2] Nanjing Forestry Univ, Coll Sci, Nanjing 210037, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 360卷
基金：
中国国家自然科学基金;
关键词：
Quasi-periodic system; Degenerate equilibrium point; KAM iteration; Response solution; TORI;
D O I：
10.1016/j.jde.2023.03.046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper considers quasi-periodic perturbations of 2-dimensional degenerate systems. It is proved that if the equilibrium point of the unperturbed system is hyperbolic-type degenerate, then the perturbed sys-tem has a small response solution. The proof is based on the topological degree theory and some KAM techniques developed in [3]. (c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页码：500 / 522
页数：23
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