Degenerate Hopf bifurcation in the presence of symmetry
type: Item
instance of: scholarly article
title: Degenerate Hopf bifurcation in the presence of symmetry
zbMATH Open document ID: 0644.58014
DOI: 10.1016/0167-2789(87)90035-2
author: B. George
published in: Physica D
publication date: 1987-01-01T00:00:00Z
review text: The authors analyze a bifurcation problem \({\overset \circ x} = f(x,\lambda)\), \(x\in {\mathbb{R}}^ 4,\) equivariant with respect to a certain 16-element group. The equivariance forces two equal pairs of complex conjugate eigenvalues to cross the imaginary axis simultaneously. The authors find several families of bifurcating time-periodic solutions and discuss their symmetry and stability.
reviewed by: Stephen Schecter
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 4050587
zbMATH Keywords: bifurcation
zbMATH Keywords: bifurcating time-periodic solutions
zbMATH Keywords: symmetry
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: 0167-2789(87)90035-2
OpenAlex ID: W2024642031
cites work: Q3334649
cites work: Hopf bifurcation in the presence of symmetry
cites work: Q4126536
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description: scientific article; zbMATH DE number 4050587