Generic bifurcation of certain piecewise smooth vector fields

Details Generic bifurcation of certain piecewise smooth vector fields Generic bifurcation of certain piecewise smooth vector fields

2011-04-05

arxiv.org/abs/1104.0865v1

Mathematics

Dynamical Systems

Scientific paper

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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