{
  "id": "2410.11465",
  "version": "v1",
  "published": "2024-10-15T10:13:24.000Z",
  "updated": "2024-10-15T10:13:24.000Z",
  "title": "Singular points in generic two-parameter families of vector fields on 2-manifold",
  "authors": [
    "Dmitry A. Filimonov",
    "Yulij S. Ilyashenko"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we give a full description of all possible singular points that occur in generic 2-parameter families of vector fields on compact 2-manifolds. This is a part of a large project aimed to a complete study of global bifurcations in two-parameter families of vector fields on the two-sphere.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-15T10:13:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37G10",
      "58K45",
      "34C23"
    ],
    "keywords": [
      "vector fields",
      "generic two-parameter families",
      "singular points",
      "global bifurcations",
      "complete study"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}