{
  "id": "2202.01982",
  "version": "v1",
  "published": "2022-02-02T18:29:56.000Z",
  "updated": "2022-02-02T18:29:56.000Z",
  "title": "A complex limit cycle not intersecting the real plane",
  "authors": [
    "Ali Taghavi"
  ],
  "journal": "Mathematical Analysis&Convex optimization, MACO 2021, 2(2): 67-71",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "We give a precise example of a polynomial vector field on $\\mathbb{R}^2$ whose corresponding singular holomorphic foliation of $\\mathbb{C}^2$ possesses a complex limit cycle which does not intersect the real plane $\\mathbb{R}^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-02T18:29:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F75",
      "32M25",
      "34M35"
    ],
    "keywords": [
      "complex limit cycle",
      "real plane",
      "polynomial vector field",
      "corresponding singular holomorphic foliation",
      "precise example"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}