{
  "id": "1306.0986",
  "version": "v1",
  "published": "2013-06-05T05:30:11.000Z",
  "updated": "2013-06-05T05:30:11.000Z",
  "title": "A topological characterization of omega-limit sets on dynamical systems",
  "authors": [
    "Hahng-Yun Chu",
    "Ahyoung Kim",
    "Jong-Suh Park"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this article, we deal with several notions in dynamical systems. Firstly, we prove that both closure function and orbital function are idempotent on set-valued dynamical systems. And we show that the compact limit set of a connected set is also connected. Furthermore, we prove that the $\\Omega$-limit set of a compact set is quasi-attracting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-05T05:30:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "omega-limit sets",
      "topological characterization",
      "compact limit set",
      "closure function",
      "orbital function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.0986C"
    }
  }
}