Furter, Jacques-ElieSitta, Angela Maria [UNESP]2014-05-272014-05-272002-10-18Royal Society of Edinburgh - Proceedings A, v. 132, n. 5, p. 1185-1218, 2002.0308-2105http://hdl.handle.net/11449/67000We use singularity theory to classify forced symmetry-breaking bifurcation problems f(z, λ, μ) = f1 (z, λ) + μf2(z, λ, μ) = 0, where f1 is double-struck O sign (2)-equivariant and f2 is double-struck D sign n-equivariant with the orthogonal group actions on z ∈ ℝ2. Forced symmetry breaking occurs when the symmetry of the equation changes when parameters are varied. We explicitly apply our results to the branching of subharmonic solutions in a model periodic perturbation of an autonomous equation and sketch further applications.1185-1218engTrabalho apresentado em eventoAcesso aberto2-s2.0-0037131689