The classification of reversible-equivariant steady-state bifurcations on self-dual spaces

DOI10.1017/S0305004108001400zbMath1162.34027OpenAlexW2165613123MaRDI QIDQ3524091

Patrícia H. Baptistelli, Miriam Manoel

Publication date: 8 September 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004108001400

zbMATH Keywords

symmetry groupsequivariant systemsself-dual representationsreversible-equivariant systems

Mathematics Subject Classification ID

Related Items (6)

The Wigner caustic on shell and singularities of odd functions ⋮ Invariants and relative invariants under compact Lie groups ⋮ Relative equivariants under compact Lie groups ⋮ The \(\sigma \)-isotypic decomposition and the \(\sigma \)-index of reversible-equivariant systems ⋮ Complete transversals of symmetric vector fields ⋮ Invariant theory and reversible-equivariant vector fields

Cites Work

• Symmetric singularities of reversible vector fields in dimension three
• Singularities and groups in bifurcation theory. Volume I
• A classification of degenerate Hopf bifurcations with O(2) symmetry
• Local bifurcations on the plane with reversing point group symmetry
• Singularities of reversible vector fields
• Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two
• Reversible equivariant linear systems
• DEGENERATE BIFURCATIONS WITH Z₂⊕Z₂-SYMMETRY

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