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arXiv · 1207.6356

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

Claudio A. Buzzi·Tiago A. Carvalho·Marco A. Teixeira
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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.

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Claudio A. Buzzi, Tiago A. Carvalho, Marco A. Teixeira. 2012-07-26. On 3-parameter families of piecewise smooth vector fields in the plane. https://doi.org/10.1137/100817309

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