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arXiv:1005.3258 [math.DS]Abstract References Reviews Resources

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

Claudio A. Buzzi, Tiago de Carvalho, Marco A. Teixeira

Published 2010-05-18, updated 2010-07-20Version 3

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.

Categories: math.DS, math.GM

Subjects: 34A36, 37G10, 37G05

Keywords: non-smooth vector fields, fold-saddle bifurcation, bifurcation diagrams, 2d piecewise-smooth dynamical systems, fold-saddle singularity

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