Symmetry-breaking and branching patterns in equivariant bifurcation theory. I

DOI10.1007/BF00374978zbMath0760.58008MaRDI QIDQ1194062

R. W. jun. Richardson, Michael Field

Publication date: 27 September 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

spontaneous symmetry breakingequivariant bifurcation theorybranching patternmaximal isotropy subgroup conjecture

Mathematics Subject Classification ID

Group-invariant bifurcation theory in infinite-dimensional spaces (58E09) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

Counting symmetry-breaking solutions to symmetric variational problems, Symmetry breaking and branching patterns in equivariant bifurcation theory. II, Symmetry-breaking bifurcations on multidimensional fixed point subspaces, Representations for transversely hemitropic and transversely isotropic stress-strain relations, Michel theory of symmetry breaking and gauge theories, Hopf bifurcation from relative periodic solutions; secondary bifurcations from meandering spirals, Breaking of permutation symmetry and diagonal group action: Nielsen model and the standard model as low-energy limit, Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S _k

Cites Work

• Equivariant bifurcation theory and symmetry breaking
• On classification of real singularities
• Singularities and groups in bifurcation theory. Volume I
• \(G\)-signature, \(G\)-degree, and symmetries of the branches of curve singularities
• Singularities and groups in bifurcation theory. Volume II
• Topological stability of smooth mappings
• Symmetry breaking and the maximal isotropy subgroup conjecture for reflection groups
• Symmetry breaking in equivariant bifurcation problems
• Topological equivalence of bifurcation problems
• A bifurcation theorem for critical points of variational problems
• Transversality in G-Manifolds
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