Generic bifurcation of certain piecewise smooth vector fields

Published 5 Apr 2011 in math.DS | (1104.0865v2)

Abstract: This paper presents results concerning bifurcations of 2D piecewise-smooth dynamical systems governed by vector fields. Generic three-parameter families of a class of Non-Smooth Vector Fields are studied and the bifurcation diagrams are exhibited. Our main results describe the unfolding of the so called Resonant $Fold-Saddle$ singularity.

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