Finite dimensional approximation of bifurcation problems in presence of symmetries
type: Item
instance of: scholarly article
title: Finite dimensional approximation of bifurcation problems in presence of symmetries
zbMATH Open document ID: 0562.65073
DOI: 10.1007/BF01389868
published in: Numerische Mathematik
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133064
review text: We study the approximation of nonlinear equations in a neighbourhood of a bifurcation point of multiplicity two, in presence of symmetries. Under a fairly general approximation condition which preserves the symmetry properties of the problem, we define a discrete problem whose solutions are described precisely and we state sharp error estimates between the branches of exact and approximate solutions.
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35P30
zbMATH DE Number: 3896240
zbMATH Keywords: finite dimensional approximation
zbMATH Keywords: bifurcation problems
zbMATH Keywords: symmetries
zbMATH Keywords: sharp error estimates
author: Geneviève Raugel
MaRDI profile type: Publication
cites work: Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
cites work: Finite dimensional approximation of nonlinear problems. II: Limit points
cites work: Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points
cites work: Applications of generic bifurcation. II
cites work: Imperfect bifurcation in the presence of symmetry
cites work: Bifurcation analysis near a double eigenvalue of a model chemical reaction
cites work: Boundary conditions and mode jumping in the buckling of a rectangular plate
cites work: Loss of stability and bifurcation at a double eigenvalue
cites work: Q4774620
cites work: Q3687618
cites work: Group theoretic methods in bifurcation theory. With an appendix by P. Olver
cites work: Secondary Bifurcation Near a Double Eigenvalue
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description: scientific article; zbMATH DE number 3896240