Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system
type: Item
instance of: scholarly article
title: Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system
zbMATH Open document ID: 1410.34092
author: Wilker Fernandes
author: Regilene Oliveira
author: Valery G. Romanovski
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-08-27T00:00:00Z
review text: This paper deals with a family of planar polynomial differential \(\mathbb{Z}_2\)-equivariant systems of degree \(5\). Its main purpose is to provide conditions for the existence of an isochronous bi-center. This study also discusses the number of centers of \(\mathbb{Z}_2\)-equivariant systems of degree \(3\) and \(5\), and provides examples of quintic systems with \(3\) or \(5\) isochronous centers.
reviewed by: Marco Spadini
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C14
zbMATH DE Number: 6925389
zbMATH Keywords: planar differential systems
zbMATH Keywords: center-focus problem
zbMATH Keywords: isochronicity
zbMATH Keywords: equivariant systems
zbMATH Keywords: global phase portraits
describes a project that uses: primdec
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.07.053
OpenAlex ID: W2885003308
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DOI: 10.1016/J.JMAA.2018.07.053
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description: scientific article; zbMATH DE number 6925389