Linear estimation of the number of zeros of abelian integral for some cubic isochronous centers
type: Item
instance of: scholarly article
title: Linear estimation of the number of zeros of abelian integral for some cubic isochronous centers
zbMATH Open document ID: 1010.34026
author: Chengzhi Li
author: Weigu Li
author: Jaume Llibre
author: Zhifen Zhang
published in: Journal of Differential Equations
publication date: 2003-04-30T00:00:00Z
review text: The paper is concerned with a polynomial system and the results obtained are closely related to the number of limit cycles. The authors first give necessary and sufficient conditions for a cubic system to have a conic center at the origin. Then they investigate this kind of systems inside the class of all polynomial systems of degree \(n\). An upper bound for the number of zeros of the Abelian integrals is obtained.
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 1750347
zbMATH Keywords: limit cycle
zbMATH Keywords: bifurcation
zbMATH Keywords: polynomial system
reviewed by: Maoan Han
MaRDI profile type: Publication
full work available at URL: jdeq.2001.4064
OpenAlex ID: W2055287145
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DOI: 10.1006/JDEQ.2001.4064
description: scientific article; zbMATH DE number 1750347