{
  "id": "1910.03361",
  "version": "v1",
  "published": "2019-10-08T12:25:14.000Z",
  "updated": "2019-10-08T12:25:14.000Z",
  "title": "Topological properties of Lorenz maps derived from unimodal maps",
  "authors": [
    "Ana Anušić",
    "Henk Bruin",
    "Jernej Činč"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "A symmetric Lorenz map is obtain by ``flipping'' one of the two branches of a symmetric unimodal map. We use this to derive a Sharkovsky-like theorem for symmetric Lorenz maps, and also to find cases where the unimodal map restricted to the critical omega-limit set is conjugate to a Sturmian shift. This has connections with properties of unimodal inverse limit spaces embedded as attractors of some planar homeomorphisms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-08T12:25:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "37E10",
      "37E15",
      "37E30",
      "37E45"
    ],
    "keywords": [
      "topological properties",
      "symmetric lorenz map",
      "unimodal inverse limit spaces",
      "symmetric unimodal map",
      "critical omega-limit set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}