{
  "id": "0710.1047",
  "version": "v1",
  "published": "2007-10-04T16:29:50.000Z",
  "updated": "2007-10-04T16:29:50.000Z",
  "title": "q-deformed statistical-mechanical structure in the dynamics of the Feigenbaum attractor",
  "authors": [
    "A. Robledo"
  ],
  "comment": "4 pages, 2 figures",
  "categories": [
    "cond-mat.stat-mech",
    "nlin.CD"
  ],
  "abstract": "We show that the two complementary parts of the dynamics associated to the Feigenbaum attractor, inside and towards the attractor, form together a q -deformed statistical-mechanical structure. A time-dependent partition function produced by summing distances between neighboring positions of the attractor leads to a q-entropy that measures the fraction of ensemble trajectories still away at a given time from the attractor (and the repellor). The values of the q-indexes are given by the attractor's universal constants, while the thermodynamic framework is closely related to that first developed for multifractals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-04T16:29:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "feigenbaum attractor",
      "q-deformed statistical-mechanical structure",
      "attractors universal constants",
      "complementary parts",
      "time-dependent partition function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.1047R"
    }
  }
}