Fold-Saddle Bifurcation in Non-Smooth Vector Fields on the Plane

Details Fold-Saddle Bifurcation in Non-Smooth Vector Fields on the Plane Fold-Saddle Bifurcation in Non-Smooth Vector Fields on the Plane

2010-05-18

arxiv.org/abs/1005.3258v3

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 its bifurcation diagrams
are exhibited. Our main result describes the unfolding of the so called
Fold-Saddle singularity.

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