On the center criterion of planar quasi-homogeneous polynomial differential systems
type: Item
instance of: scholarly article
title: On the center criterion of planar quasi-homogeneous polynomial differential systems
zbMATH Open document ID: 1407.37079
author: Jiang Yu
author: Li-Wei Zhang
published in: Bulletin des Sciences Mathématiques
publication date: 2018-09-05T00:00:00Z
review text: The authors characterize the centers of quasi-homogeneous planar polynomial differential systems of any natural degree \(n.\) First, they prove that the system does not admit centers if \(n\) is even, then they present sufficient and necessary conditions for the system to admit a center if \(n\) is odd. Furthermore, the authors provide a simple method to obtain such systems with center of a given order.
reviewed by: Valery A. Gaiko
Mathematics Subject Classification ID: 37G05
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34C14
Mathematics Subject Classification ID: 37J35
zbMATH DE Number: 6932260
zbMATH Keywords: polynomial differential system
zbMATH Keywords: minimal weight vector
zbMATH Keywords: center
MaRDI profile type: Publication
full work available at URL: j.bulsci.2018.04.001
OpenAlex ID: W2797478274
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Wikidata QID: Q129988200
DOI: 10.1016/J.BULSCI.2018.04.001
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description: scientific article; zbMATH DE number 6932260