Bifurcations of limit cycles in equivariant quintic planar vector fields
type: Item
instance of: scholarly article
title: Bifurcations of limit cycles in equivariant quintic planar vector fields
zbMATH Open document ID: 1305.34052
published in: Journal of Mathematical Analysis and Applications
publication date: 2014-10-07T00:00:00Z
review text: By means of the Poincaré-Pontryagin and Poincaré-Bendixson theorems, the author obtains 23 limit cycles for a \(Z_3\)-equivariant near-Hamiltonian system of degree 5 which is a perturbation of a \(Z_6\)-equivariant quintic Hamiltonian system.
reviewed by: Valery A. Gaiko
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C08
Mathematics Subject Classification ID: 34C14
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 6351996
zbMATH Keywords: quintic system
zbMATH Keywords: equivariant vector field
zbMATH Keywords: limit cycle
zbMATH Keywords: Abelian integral
author: Liqin Zhao
MaRDI profile type: Publication
full work available at URL: j.jmaa.2014.08.040
OpenAlex ID: W2034815257
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DOI: 10.1016/J.JMAA.2014.08.040
description: scientific article; zbMATH DE number 6351996