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Generalized Huberman-Rudnick scaling law and robustness of q-Gaussian probability distributions

Afsar, Ozgur; Tirnakli, Ugur


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  "@context": "https://schema.org/", 
  "@id": 13007, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Ege Univ, Fac Sci, Dept Phys, TR-35100 Izmir, Turkey", 
      "name": "Afsar, Ozgur"
    }, 
    {
      "@type": "Person", 
      "name": "Tirnakli, Ugur"
    }
  ], 
  "datePublished": "2013-01-01", 
  "description": "We generalize Huberman-Rudnick universal scaling law for all periodic windows of the logistic map and show the robustness of q-Gaussian probability distributions in the vicinity of chaos threshold. Our scaling relation is universal for the self-similar windows of the map which exhibit period-doubling subharmonic bifurcations. Using this generalized scaling argument, for all periodic windows, as chaos threshold is approached, a developing convergence to q-Gaussian is numerically obtained both in the central regions and tails of the probability distributions of sums of iterates. Copyright (C) EPLA, 2013", 
  "headline": "Generalized Huberman-Rudnick scaling law and robustness of q-Gaussian probability distributions", 
  "identifier": 13007, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Generalized Huberman-Rudnick scaling law and robustness of q-Gaussian probability distributions", 
  "url": "https://aperta.ulakbim.gov.tr/record/13007"
}
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