Response solutions of a class of degenerate quasi-periodic systems with a small parameter

IF 1.1 3区数学 Q1 MATHEMATICS

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI:10.3934/dcds.2023114

Xiaomei Yang, Junxiang Xu

引用次数: 0

Abstract

This paper considers a special class of quasi-periodic systems with a small parameter, whose unperturbed part has a degenerate equilibrium point. We prove the existence of response solutions for many sufficiently small parameters. The proof is based on some formal KAM techniques and the Leray-Schauder Continuation Theorem.

查看原文本刊更多论文

一类小参数退化拟周期系统的响应解

考虑一类特殊的小参数拟周期系统，其非摄动部分具有退化平衡点。我们证明了许多足够小的参数响应解的存在性。该证明基于一些形式化的KAM技术和Leray-Schauder延拓定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Discrete and Continuous Dynamical Systems 数学-数学

CiteScore

2.50

自引率

0.00%

发文量

175

审稿时长

6 months

期刊介绍： DCDS, series A includes peer-reviewed original papers and invited expository papers on the theory and methods of analysis, differential equations and dynamical systems. This journal is committed to recording important new results in its field and maintains the highest standards of innovation and quality. To be published in this journal, an original paper must be correct, new, nontrivial and of interest to a substantial number of readers.