This paper is concerned with the local bifurcation analysis around typical
singularities of piecewise smooth planar dynamical systems. Three-parameter
families of a class of non−smooth vector fields are studied and the
tridimensional bifurcation diagrams are exhibited. Our main results describe
the unfolding of the so called fold-cusp singularity by means of the variation
of 3 parameters.Comment: 33 Figures. arXiv admin note: text overlap with arXiv:1104.086