Limit cycles for rigid cubic systems
type: Item
instance of: scholarly article
title: Limit cycles for rigid cubic systems
zbMATH Open document ID: 1076.34031
author: Armengol Gasull
author: Rafel Prohens
author: Joan Torregrosa
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-07T00:00:00Z
review text: The authors consider three families of planar cubic systems with 0, 1 and 2 pairs of critical points at infinity, respectively. Simultaneously all of these systems have a unique finite singular point of center-focus type and constant angular velocity. The bifurcation diagrams for such families are presented. Also, the authors obtain the uniqueness of a limit cycle for two of these families and a lower bound for the number of limit cycles for the third family.
reviewed by: Alexander Grin
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 2153750
zbMATH Keywords: limit cycle
zbMATH Keywords: bifurcation
zbMATH Keywords: center-focus problem
zbMATH Keywords: cubic system
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.07.030
OpenAlex ID: W2018087114
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DOI: 10.1016/J.JMAA.2004.07.030
description: scientific article; zbMATH DE number 2153750