On 3-parameter families of piecewise smooth vector fields in the plane

Abstract

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.

33 Figures. arXiv admin note: text overlap with arXiv:1104.0865

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