{
  "id": "1903.11832",
  "version": "v1",
  "published": "2019-03-28T08:35:06.000Z",
  "updated": "2019-03-28T08:35:06.000Z",
  "title": "Transitivity and Mixing Properties of Set-Valued Dynamical Systems",
  "authors": [
    "Wong Koon Sang",
    "Zabidin Salleh"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We introduce and study two properties of dynamical systems: topologically transitive and topologically mixing under the set-valued setting. We prove some implications of these two topological properties for set-valued functions and generalize some results from single-valued case to set-valued case. We also show that both properties of set-valued dynamical systems are equivalence for any compact intervals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-28T08:35:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54C60",
      "54H20"
    ],
    "keywords": [
      "set-valued dynamical systems",
      "mixing properties",
      "transitivity",
      "compact intervals",
      "set-valued functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}