Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modeling scaled processes and 1/f^b noise by the nonlinear stochastic
  differential equations   We present and analyze stochastic nonlinear differential equations generating
signals with the power-law distributions of the signal intensity, 1/f^b noise,
power-law autocorrelations and second order structural (height-height
correlation) functions. Analytical expressions for such characteristics are
derived and the comparison with numerical calculations is presented. The
numerical calculations reveal links between the proposed model and models where
signals consist of bursts characterized by the power-law distributions of burst
size, burst duration and the interburst time, as in a case of avalanches in
self-organized critical (SOC) models and the extreme event return times in
long-term memory processes. The presented approach may be useful for modeling
the long-range scaled processes exhibiting 1/f noise and power-law
distributions.

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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat