Isochronicity problem of a higher-order singular point for polynomial differential systems
type: Item
instance of: scholarly article
title: Isochronicity problem of a higher-order singular point for polynomial differential systems
zbMATH Open document ID: 1198.34048
author: Yusen Wu
author: Cui Zhang
author: Peiluan Li
published in: Acta Applicandae Mathematicae
publication date: 2010-05-19T00:00:00Z
review text: The paper is devoted to the isochronicity problem of a higher-order singular point for a planar polynomial autonomous system. By applying a new recursive algorithm to compute period constants, the authors study this problem for the following real septic system \[ \begin{aligned} \frac{dx}{dt}&=-y(x^2 + y^2)+ \sum_{k+j=5}A_{kj}x^ky^j -\lambda y(x^2 + y^2)^3, \\ \frac{dy}{dt}&=x(x^2 + y^2)+ \sum_{k+j=5}B_{kj}x^ky^j +\lambda x(x^2 + y^2)^3. \end{aligned} \]
reviewed by: Alexander Grin
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
zbMATH DE Number: 5709154
zbMATH Keywords: planar polynomial autonomous system
zbMATH Keywords: isochronous center
zbMATH Keywords: period constant
zbMATH Keywords: recursive algorithm
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: s10440-009-9518-1
OpenAlex ID: W1993167799
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DOI: 10.1007/S10440-009-9518-1
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description: scientific article; zbMATH DE number 5709154