Path formulation for multiparameter -equivariant bifurcation problems
Jacques-Élie Furter, Angela Maria Sitta (2010)
Annales de l’institut Fourier
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We implement a singularity theory approach, the path formulation, to classify -equivariant bifurcation problems of corank 2, with one or two distinguished parameters, and their perturbations. The bifurcation diagrams are identified with sections over paths in the parameter space of a -miniversal unfolding of their cores. Equivalence between paths is given by diffeomorphisms liftable over the projection from the zero-set of onto its unfolding parameter space. We apply our results...