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arXiv · 1005.3258

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

Claudio A. Buzzi·Tiago de Carvalho·Marco A. Teixeira
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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 its bifurcation diagrams are exhibited. Our main result describes the unfolding of the so called Fold-Saddle singularity.

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Claudio A. Buzzi, Tiago de Carvalho, Marco A. Teixeira. 2010-05-18. Fold-Saddle Bifurcation in Non-Smooth Vector Fields on the Plane. https://doi.org/10.1142/s0218127412502914

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