English

On three-parameter families of Filippov systems -- the fold-saddle singularity

Dynamical Systems 2016-12-21 v1

Abstract

This paper presents results concerning bifurcations of 2D piecewise-smooth vector fields. In particular, the generic unfoldings of codimension three fold-addle singularities of Filippov systems, where a boundary-saddle and a fold coincide, are considered and the bifurcation diagrams exhibited.

Keywords

Cite

@article{arxiv.1210.7528,
  title  = {On three-parameter families of Filippov systems -- the fold-saddle singularity},
  author = {Tiago de Carvalho and Claudio Aguinaldo Buzzi and Marco Antonio Teixeira},
  journal= {arXiv preprint arXiv:1210.7528},
  year   = {2016}
}

Comments

Accepted for publication at "International Journal of Bifurcation and Chaos". arXiv admin note: substantial text overlap with arXiv:1104.0865, arXiv:1005.3258