A general class of centers for the Poincaré problem
type: Item
instance of: scholarly article
title: A general class of centers for the Poincaré problem
zbMATH Open document ID: 1190.34034
author: Gary R. Nicklason
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-07-09T00:00:00Z
review text: For the system \[ {dx\over dt}= -y- p(x,y),\quad {dy\over dt}= x+ q(x,y), \] where \(p\), \(q\) are homogeneous polynomials of degree \(n\geq 2\), it is obtained sufficient center conditions in case of \(n= 4,5,6,7,8\) are obtained.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C14
zbMATH DE Number: 5577095
zbMATH Keywords: center-focus problem
zbMATH Keywords: Abel differential equation
zbMATH Keywords: symmetric centers
reviewed by: A. P. Sadovskiĭ
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.04.047
OpenAlex ID: W2051825792
cites work: Q4100783
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cites work: Integrable systems in the plane with center type linear part
cites work: Polynomial first integrals of systems in the plane with center type linear part
cites work: Polynomial first integrals via the Poincaré series
cites work: Q4090690
DOI: 10.1016/J.JMAA.2009.04.047
description: scientific article; zbMATH DE number 5577095