{
  "id": "1611.03770",
  "version": "v1",
  "published": "2016-11-11T16:37:05.000Z",
  "updated": "2016-11-11T16:37:05.000Z",
  "title": "Generic behavior of a piecewise smooth vector field with non-smooth switching surface",
  "authors": [
    "Juliana Larrosa",
    "Marco A. Teixeira",
    "Tere M-Seara"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "This paper consists in discussing some issues on generic local classification of typical singularities of $2D$ piecewise smooth vector fields when the switching set is an algebraic variety. The main focus is to obtain classification results concerning structural stability and generic codimension one bifurcations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-11T16:37:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "piecewise smooth vector field",
      "non-smooth switching surface",
      "generic behavior",
      "classification results concerning structural stability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}