{
  "id": "1011.1453",
  "version": "v1",
  "published": "2010-11-05T16:41:01.000Z",
  "updated": "2010-11-05T16:41:01.000Z",
  "title": "On evaluation of the topological degree of the Poincare map in some singular situations",
  "authors": [
    "Irina Martynova"
  ],
  "comment": "9 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In the paper we develop a method to evaluate the topological degree of the Poincare map of the mathematical model of narrow lagoon subject to a T-periodic forcing. Using the method developved we arrive to the conditions for the parameteres that guarantee the existence of T-periodic solutions in a given region. The difficulty towards implementing this plan is caused by the fact that the direct employing of M.A. Krasnoselski-A.I. Perov irreversibility approach leads to a singular vector field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-05T16:41:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C05"
    ],
    "keywords": [
      "poincare map",
      "topological degree",
      "singular situations",
      "evaluation",
      "singular vector field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.1453M"
    }
  }
}