{
  "id": "1704.07264",
  "version": "v1",
  "published": "2017-04-24T14:47:29.000Z",
  "updated": "2017-04-24T14:47:29.000Z",
  "title": "Notes on Chain Recurrence and Lyapunonv Functions",
  "authors": [
    "John Franks"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "This short expository note provides an introduction to the concept of chain recurrence in topological dynamics and a proof of the existence complete Lyapunov functions for homeomorphisms of compact metric spaces due to Charles Conley. I have used it as supplementary material in introductory dynamics courses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-24T14:47:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B25"
    ],
    "keywords": [
      "chain recurrence",
      "lyapunonv functions",
      "existence complete lyapunov functions",
      "compact metric spaces",
      "short expository note"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}