Generalized Huberman-Rudnick scaling law and robustness of q-Gaussian probability distributions
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Tarih
2013
Yazarlar
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Yayıncı
Iop Publishing Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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
Açıklama
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Epl
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
101
Sayı
2
