Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers
type: Item
instance of: scholarly article
title: Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers
zbMATH Open document ID: 1308.34041
author: Jaume Llibre
author: Jackson Itikawa
published in: Journal of Computational and Applied Mathematics
publication date: 2014-10-28T00:00:00Z
reviewed by: Antoni Ferragut
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C29
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 6362056
zbMATH Keywords: polynomial vector field
zbMATH Keywords: limit cycle
zbMATH Keywords: averaging method
zbMATH Keywords: periodic orbit
zbMATH Keywords: uniform isochronous center
MaRDI profile type: Publication
full work available at URL: j.cam.2014.09.007
OpenAlex ID: W1995830660
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DOI: 10.1016/J.CAM.2014.09.007
review text: The authors consider planar cubic vector fields having a uniform isochronous center, following the results of Collins. There are two families of such systems. The study of integrability and phase portraits is given. Moreover from the two families some different families of systems (continuous and discontinuous) are provided in order to study the limit cycles that can bifurcate from the initial families. This study is done by using the averaging method.NEWLINENEWLINEThe paper demonstrates the application of averagin theory to some different order and to both continuous and discontinuous systems.
description: scientific article; zbMATH DE number 6362056