Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node
type: Item
instance of: scholarly article
title: Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node
zbMATH Open document ID: 1269.34034
author: Ahmed Bendjeddou
author: Jaume Llibre
author: Tayeb Salhi
published in: Journal of Differential Equations
publication date: 2013-04-17T00:00:00Z
review text: The authors consider a class of polynomial differential systems with homogeneous nonlinearities and a star node at the origin. They prove that such systems are Darboux integrable and study the existence and non-existence of limit cycles surrounding the equilibrium point located at the origin.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34A05
zbMATH DE Number: 6154870
zbMATH Keywords: polynomial differential system
zbMATH Keywords: star node
zbMATH Keywords: limit cycle
reviewed by: Valery A. Gaiko
MaRDI profile type: Publication
full work available at URL: j.jde.2013.01.032
OpenAlex ID: W1967377977
DOI: 10.1016/J.JDE.2013.01.032
description: scientific article; zbMATH DE number 6154870