{
  "id": "1005.3258",
  "version": "v3",
  "published": "2010-05-18T17:20:18.000Z",
  "updated": "2010-07-20T18:49:38.000Z",
  "title": "Fold-Saddle Bifurcation in Non-Smooth Vector Fields on the Plane",
  "authors": [
    "Claudio A. Buzzi",
    "Tiago de Carvalho",
    "Marco A. Teixeira"
  ],
  "categories": [
    "math.DS",
    "math.GM"
  ],
  "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.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-07-20T18:49:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A36",
      "37G10",
      "37G05"
    ],
    "keywords": [
      "non-smooth vector fields",
      "fold-saddle bifurcation",
      "bifurcation diagrams",
      "2d piecewise-smooth dynamical systems",
      "fold-saddle singularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.3258B"
    }
  }
}