Bifurcation of limit cycles and center problem for \(p : q\) homogeneous weight systems
type: Item
instance of: scholarly article
title: Bifurcation of limit cycles and center problem for \(p : q\) homogeneous weight systems
zbMATH Open document ID: 1418.34070
author: Tao Liu
author: Feng Li
author: Shimin Li
author: Jing Wang
author: Yirong Liu
published in: Nonlinear Analysis. Real World Applications
publication date: 2019-02-27T00:00:00Z
review text: In this paper, the authors consider quasi-homogeneous polynomial differential systems and study the center problem and bifurcation of limit cycles for $p:q$ homogeneous weight systems. Some properties of the successive function and the focus values are discussed. Furthermore, the method of computing focal values is given. As an example, the center problem and the bifurcation of limit cycles for a $2:3$ homogeneous weight system are studied, three or five limit cycles in the neighborhood of the origin can be obtained by different perturbations.
reviewed by: Valery A. Gaiko
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34E10
zbMATH DE Number: 7030153
zbMATH Keywords: homogeneous weight system
zbMATH Keywords: degenerate critical point
zbMATH Keywords: limit cycle
zbMATH Keywords: center
describes a project that uses: counterQH.m
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2018.09.018
OpenAlex ID: W2897628842
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Bifurcation of limit cycles and center problem for \(p : q\) homogeneous weight systems (DOI)
DOI: 10.1016/J.NONRWA.2018.09.018