Limit cycle bifurcations by perturbing a class of integrable systems with a polycycle
type: Item
instance of: scholarly article
title: Limit cycle bifurcations by perturbing a class of integrable systems with a polycycle
zbMATH Open document ID: 1318.34050
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-01-27T00:00:00Z
review text: By using the first order Melnikov function, the authors deal with the problem of limit cycle bifurcation near a 2-polycycle or 3-polycycle for a class of integrable systems, get the formal expansion of the Melnikov function corresponding to the heteroclinic loop and give some computational formulas for the first coefficients of the expansion. Based on the coefficients, a lower bound for the maximal number of limit cycles near the polycycle for the perturbed systems is obtained.
reviewed by: Valery A. Gaiko
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 6391307
zbMATH Keywords: near-integrable system
zbMATH Keywords: Melnikov function
zbMATH Keywords: heteroclinic loop
zbMATH Keywords: limit cycle bifurcation
author: Yan-Qin Wang
author: Maoan Han
MaRDI profile type: Publication
full work available at URL: j.jmaa.2014.03.091
OpenAlex ID: W2002520550
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DOI: 10.1016/J.JMAA.2014.03.091
description: scientific article; zbMATH DE number 6391307