Furter, Jacques-ÉlieSitta, Angela Maria [UNESP]2014-05-272014-05-272010-11-22Annales de l'Institut Fourier, v. 60, n. 4, p. 1363-1400, 2010.0373-0956http://hdl.handle.net/11449/71965We implement a singularity theory approach, the path formulation, to classify D3-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 Ba-miniversal unfolding f0 of their cores. Equivalence between paths is given by diffeomorphisms liftable over the projection from the zero-set of F0 onto its unfolding parameter space. We apply our results to degenerate bifurcation of period-3 subharmonics in reversible systems, in particular in the 1:1-resonance.1363-1400eng1:1-resonanceDegenerate bifurcationEquivariant bifurcationPath formulationReversible systemsSingularity theorySubharmonic bifurcationArtigo10.5802/aif.2558Acesso aberto2-s2.0-78349232386