Fold-Saddle Bifurcation in Non-Smooth Vector Fields on the Plane
Dynamical Systems
2021-02-12 v3 General Mathematics
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.
Keywords
Cite
@article{arxiv.1005.3258,
title = {Fold-Saddle Bifurcation in Non-Smooth Vector Fields on the Plane},
author = {Claudio A. Buzzi and Tiago de Carvalho and Marco A. Teixeira},
journal= {arXiv preprint arXiv:1005.3258},
year = {2021}
}