Singularity theory and equivariant bifurcation problems with parameter symmetry

DOI10.1017/S0305004100075071zbMath0866.58021OpenAlexW2071889957MaRDI QIDQ5687405

Jacques-Elie Furter, Angela Maria Sitta, I. N. Stewart

Publication date: 24 July 1997

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

Full work available at URL: https://doi.org/10.1017/s0305004100075071

zbMATH Keywords

normal formssingularity theorysmooth mappingsmultiparameter bifurcation problemsparameter symmetry

Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

Related Items (4)

Bifurcation characteristics analysis of a class of nonlinear dynamical systems based on singularity theory ⋮ Unfolding of multiparameter equivariant bifurcation problems with two groups of state variables under left-right equivalent group ⋮ Bifurcation analysis of composite laminated piezoelectric rectangular plate structure in the case of 1:2 internal resonance ⋮ On the zero set of G-equivariant maps

Cites Work

• Unnamed Item
• A classification of degenerate Hopf bifurcations with O(2) symmetry
• Smooth functions invariant under the action of a compact Lie group
• A theory for imperfect bifurcation via singularity theory

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