An asymptotically stable cusp-fold singularity in 3D piecewise smooth vector fields
Dynamical Systems
2013-06-07 v1
Abstract
This paper is concerned with the analysis of a typical singularity of piecewise smooth vector fields on composed by two zones. In our object of study, the cusp-fold singularity, we consider the simultaneous occurrence of a cusp singularity for one vector field and a fold singularity for the other one. We exhibit a normal form that presents one of the most important property searched for in piecewise smooth vector fields: the asymptotical stability.
Cite
@article{arxiv.1306.1427,
title = {An asymptotically stable cusp-fold singularity in 3D piecewise smooth vector fields},
author = {Tiago De Carvalho and Marco A. Teixeira and Durval J. Tonon},
journal= {arXiv preprint arXiv:1306.1427},
year = {2013}
}
Comments
13 pages and 7 figures