Sufficient conditions for the existence of a center in polynomial systems of arbitrary degree
type: Item
instance of: scholarly article
title: Sufficient conditions for the existence of a center in polynomial systems of arbitrary degree
zbMATH Open document ID: 0856.34028
DOI: 10.5565/PUBLMAT_40196_13
author: Yanyan Li
published in: Publicacions Matemàtiques
publication date: 1997-02-27T00:00:00Z
full work available at URL: https://eudml.org/doc/41244
review text: The existence of centers at the origin of the autonomous polynomial system \(\dot x= y+ P(x, y)\), \(\dot y= - x+ Q(x, y)\), where \(P(x, y)\) and \(Q(x, y)\) are polynomials of degree \(n\) but without linear terms, is investigated. New sufficient conditions for a center at the origin are obtained for the case \(n= 3\), and, by induction, the results are generalized to polynomials of arbitrary degree. Extensive use is made of Mathematica for the symbolic computation. Specific applications or examples are included.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 911934
zbMATH Keywords: centers
zbMATH Keywords: autonomous polynomial system
zbMATH Keywords: Mathematica
zbMATH Keywords: symbolic computation
describes a project that uses: Mathematica
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 911934