{
  "id": "1710.06106",
  "version": "v1",
  "published": "2017-10-17T05:37:26.000Z",
  "updated": "2017-10-17T05:37:26.000Z",
  "title": "Chaos on compact metric spaces generated from symbolic dynamical systems",
  "authors": [
    "Shousuke Ohmori"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We discuss Devaney chaos on compact metric spaces using a decomposition space characterized by topological nature of symbolic dynamics. A chaotic map obtained here is defined as a topologically conjugate of the chaotic map on a decomposition space which is induced by a chaotic map of symbolic dynamics. In particular, the chaotic character of the tent map and the baker map on [0,1] are reconsidered based on decomposition dynamics involving symbolic dynamics with different two chaotic maps. As an example of compact metric space we exhibit a chaotic map existing on any given finite graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-17T05:37:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact metric space",
      "symbolic dynamical systems",
      "chaotic map",
      "symbolic dynamics",
      "decomposition space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}