Rotating periodic solutions in complete degeneracy
type: Item
instance of: scholarly article
title: Rotating periodic solutions in complete degeneracy
zbMATH Open document ID: 1498.34119
author: Ying-Jia Guo
author: Xue Yang
published in: Applied Mathematics Letters
publication date: 2022-02-22T00:00:00Z
review text: In this paper, the authors study the existence of \(Q_0\)-rotating periodic solutions on a class of perturbed systems in \(\mathbb{R}^n\). This kind of rotating periodic solutions has the from of \(X(t+T)=Q_0X(t)\) \(\forall t\in \mathbb{R}\) with \(T>0\) and \(Q_0\) an orthogonal matrix. The systems under consideration are linear but completely degenerate. When the linear systems take small perturbations, the authors prove the existence of \(Q_0\)-rotating periodic solutions for the given systems by using the topological degree theory.
reviewed by: Zaihong Wang
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34E10
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7479026
zbMATH Keywords: rotating periodic solutions
zbMATH Keywords: persistence
zbMATH Keywords: topological degree
MaRDI profile type: Publication
full work available at URL: j.aml.2022.107945
OpenAlex ID: W4207029538
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DOI: 10.1016/J.AML.2022.107945
description: scientific article; zbMATH DE number 7479026