Bifurcations of cycles in systems of differential equations with a finite symmetry group. I. II
type: Item
instance of: scholarly article
title: Bifurcations of cycles in systems of differential equations with a finite symmetry group. I. II
zbMATH Open document ID: 0945.34025
DOI: 10.1023/A:1022832331959
author: Yanyan Li
published in: Journal of Dynamical and Control Systems
publication date: 2000-04-13T00:00:00Z
review text: One-parameter bifurcations of periodic solutions to differential equations with a finite symmetry group are studied. Three types of periodic solutions (F-cycles, S-cycles and FS-cycles) are considered separately. In paper I, bifurcations of F-cycles at double real multipliers and all codimension one bifurcations of S-cycles are studied. In paper II, a more complicated case of a double part of complex multipliers for F-cycles is considered and bifurcations of FS-cycles are shortly discussed.
reviewed by: Chien-Pai Han
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 37G40
zbMATH DE Number: 1431867
zbMATH Keywords: bifurcations
zbMATH Keywords: finite symmetry group
zbMATH Keywords: periodic solutions
MaRDI profile type: Publication
full work available at URL: a:1022832331959
OpenAlex ID: W4231989790
description: scientific article; zbMATH DE number 1431867