1 Ocak 2013 Dergi makalesi Açık Erişim

Afsar, Ozgur; Tirnakli, Ugur

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    <subfield code="a">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</subfield>
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    <subfield code="a">Generalized Huberman-Rudnick scaling law and robustness of q-Gaussian probability distributions</subfield>
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