Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Huberman-Rudnick scaling law and robustness of $q$-Gaussian
  probability distributions   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.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom