On the number of limit cycles bifurcating from a non-global degenerated center
type: Item
instance of: scholarly article
title: On the number of limit cycles bifurcating from a non-global degenerated center
zbMATH Open document ID: 1116.34029
author: Armengol Gasull
author: Chengzhi Li
author: Changjian Liu
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-02-26T00:00:00Z
full work available at URL: http://ddd.uab.cat/record/44148
review text: The authors give an upper bound for the number of zeros of an Abelian integral which controls the number of limit cycles bifurcating from the periodic orbits of an integrable system with a quasi-homogeneous Hamiltonian. The tools used in their proofs are the argument principle applied to a suitable complex extension of the Abelian integral and some techniques in real analysis.
reviewed by: Valery A. Gaiko
Mathematics Subject Classification ID: 34C08
Mathematics Subject Classification ID: 34C07
zbMATH DE Number: 5129645
zbMATH Keywords: planar vector field
zbMATH Keywords: Abelian integral
zbMATH Keywords: limit cycle
zbMATH Keywords: degenerated center
MaRDI profile type: Publication
OpenAlex ID: W2092128580
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DOI: 10.1016/J.JMAA.2006.06.047
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description: scientific article; zbMATH DE number 5129645