Romero Ruiz del Portal, Francisco2023-06-202023-06-20200484-7491-767-0https://hdl.handle.net/20.500.14352/53199In this paper we apply the generalized degree introduced by Geba, Massabo and Vignoli, in [3], to extend the notion of complementing maps defined by Fitzpatrick, Massabo and Pejsachowicz, in [1] and [2]. On the other hand, we obtain, in low dimension, a bifurcation result in terms of the linking number of some 1-dimensional manifolds. We also present a global theorem that improves a Rabinowitz’s type result contained in [3] concerning the generalized degree.engGeneralized complementing mapsbook parthttp://www.mat.ucm.es/~jesusr/Enrique/pdfs/promero.pdfopen access51517.9Generalized degreeBifurcationFramed manifold.Ecuaciones diferencialesMatemáticas (Matemáticas)1202.07 Ecuaciones en Diferencias12 Matemáticas