A splitting lemma for equivariant dynamics

DOI10.1007/BF00749685zbMath0840.58015WikidataQ124829130 ScholiaQ124829130MaRDI QIDQ1899867

Giuseppe Gaeta

Publication date: 1 July 1996

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

symmetry breakingequivariant dynamicsequivariant bifurcation theory

Mathematics Subject Classification ID

Symmetry breaking in quantum theory (81R40) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

Related Items (9)

Counting symmetry-breaking solutions to symmetric variational problems ⋮ Lowering the dimension of polynomial vector fields in R2 and R3 ⋮ Invariant manifolds of an autonomous ordinary differential equation from its generalized normal forms ⋮ Reduction and reconstruction for symmetric ordinary differential equations ⋮ Embedding and splitting ordinary differential equations in normal form ⋮ Analytical approach for simplifying dynamical systems of polynomial type. ⋮ PERIODIC ORBITS OF THE LORENZ SYSTEM THROUGH PERTURBATION THEORY ⋮ Michel theory of symmetry breaking and gauge theories ⋮ Generalized normal forms for polynomial vector fields

Cites Work

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• The principle of symmetric criticality
• The geometry of spontaneous symmetry breaking
• Reduction and equivariant branching lemma: Dynamical systems, evolution PDEs, and gauge theories
• Singularities and groups in bifurcation theory. Volume II
• Smooth functions invariant under the action of a compact Lie group
• Symmetry breaking and the maximal isotropy subgroup conjecture for reflection groups
• Bifurcations in the presence of a symmetry group
• Bifurcations of Relative Equilibria
• Periodic solutions from symmetry

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