1 Ocak 2013 Dergi makalesi Açık Erişim

Afsar, Ozgur; Tirnakli, Ugur

Citation Style Language JSON

{
  "DOI": "10.1209/0295-5075/101/20003", 
  "abstract": "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", 
  "author": [
    {
      "family": "Afsar", 
      "given": " Ozgur"
    }, 
    {
      "family": "Tirnakli", 
      "given": " Ugur"
    }
  ], 
  "container_title": "EPL", 
  "id": "13007", 
  "issue": "2", 
  "issued": {
    "date-parts": [
      [
        2013, 
        1, 
        1
      ]
    ]
  }, 
  "title": "Generalized Huberman-Rudnick scaling law and robustness of q-Gaussian probability distributions", 
  "type": "article-journal", 
  "volume": "101"
}