{
  "id": "cond-mat/9809151",
  "version": "v1",
  "published": "1998-09-10T08:08:15.000Z",
  "updated": "1998-09-10T08:08:15.000Z",
  "title": "Circular-like Maps: Sensitivity to the Initial Conditions, Multifractality and Nonextensivity",
  "authors": [
    "Ugur Tirnakli",
    "Constantino Tsallis",
    "Marcelo L. Lyra"
  ],
  "comment": "15 pages (revtex), 8 figs",
  "doi": "10.1007/s100510050941",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We generalize herein the usual circular map by considering inflexions of arbitrary power $z$, and verify that the scaling law which has been recently proposed [Lyra and Tsallis, Phys.Rev.Lett. 80 (1998) 53] holds for a large range of $z$. Since, for this family of maps, the Hausdorff dimension $d_f$ equals unity for all $z$ values in contrast with the nonextensivity parameter $q$ which does depend on $z$, it becomes clear that $d_f$ plays no major role in the sensitivity to the initial conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-09-10T08:08:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "initial conditions",
      "circular-like maps",
      "sensitivity",
      "multifractality",
      "usual circular map"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}