Symmetry breaking in equivariant bifurcation problems

DOI10.1090/S0273-0979-1990-15846-XzbMath0703.58044OpenAlexW2146997570MaRDI QIDQ3482595

R. W. jun. Richardson, Michael Field

Publication date: 1990

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1990-15846-x

zbMATH Keywords

surveyequivariant bifurcationbranching patternssubmaximal symmetry breaking

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (9)

Equivariant bifurcation and absolute irreducibility in \(\mathbb R^8\): a contribution to Ize conjecture and related bifurcations ⋮ Counting symmetry-breaking solutions to symmetric variational problems ⋮ Equivariant bifurcations in four-dimensional fixed point spaces ⋮ Symmetry-breaking and branching patterns in equivariant bifurcation theory. I ⋮ Steady-state bifurcation with O(3)-symmetry ⋮ Symmetry \& critical points for a model shallow neural network ⋮ Michel theory of symmetry breaking and gauge theories ⋮ 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
• Symmetry breaking and the maximal isotropy subgroup conjecture for reflection groups
• Unnamed Item

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