Interaction of periodic and stationary bifurcation from multiple eigenvalues
type: Item
instance of: scholarly article
title: Interaction of periodic and stationary bifurcation from multiple eigenvalues
zbMATH Open document ID: 0596.47047
DOI: 10.1007/BF01162030
published in: Mathematische Zeitschrift
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173725
review text: We give a bifurcation result for stationary or periodic solutions of an evolution equation in Hilbert space when the linearization has critical eigenvalues 0 and \(\pm i\kappa_ 0\). We impose only conditions on the linearization along the trivial equilibria which allow to follow the lines of the classical Hopf bifurcation theorem: reduce it to a one- parameter bifurcation problem by solving for the frequency.
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 58E07
Mathematics Subject Classification ID: 35P30
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 3960367
zbMATH Keywords: bifurcation
zbMATH Keywords: stationary or periodic solutions of an evolution equation in
zbMATH Keywords: Hilbert space when the linearization has critical eigenvalues
zbMATH Keywords: classical Hopf bifurcation theorem
zbMATH Keywords: stationary or periodic solutions of an evolution equation in Hilbert space when the linearization has critical eigenvalues
author: Hansjörg Kielhöfer
MaRDI profile type: Publication
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OpenAlex ID: W171200960
description: scientific article; zbMATH DE number 3960367