Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems.
type: Item
instance of: scholarly article
title: Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems.
zbMATH Open document ID: 1084.34523
DOI: 10.1016/S0898-1221(02)00209-2
author: Haibo Chen
author: Yirong Liu
publication date: 2003-12-14T00:00:00Z
review text: After a short summary of the theory of real planar polynomial systems of autonomous differential equations, the authors consider a special class of cubic systems with an equilibrium of focal type at infinity. The recursive calculation of focal values (partly by MATHEMATICA) allows to create an example with 6 limit cycles in a neighborhood of infinity.
reviewed by: Péter F. Moson
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 2017122
zbMATH Keywords: cubic system
zbMATH Keywords: quantities at infinity
zbMATH Keywords: bifurcation of limit cycles
Wikidata QID: Q114172489
describes a project that uses: Mathematica
MaRDI profile type: Publication
cites work: Q3868118
cites work: Q3794533
cites work: Bifurcation at infinity in polynomial vector fields
cites work: Q4496959
cites work: Q3769249
full work available at URL: s0898-1221(02)00209-2
OpenAlex ID: W2042966107
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2017122