Our research is mainly developed in the fields of the normal forms, qualitative and bifurcation theory of ordinary differential equations. In particular, we study some aspects of the dynamics of vector fields by means of the normal forms. More concretely, we are interested in the center, isochronous and reversibility problem for planar vector fields. In the case of tridimensional systems we are interested in the study of the unfoldings of some singularities (Hopf-zero, triple-zero,...), and the analysis of global bifurcations.