Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frequency synchronization in random oscillator network   We study the frequency-synchronization of randomly coupled oscillators. By
analyzing the continuum limit, we obtain the sufficient condition for the
mean-field type synchronization. We especially find that the critical coupling
constant $K$ becomes 0 in the random scale free network,
  $P(k)\propto k^{-\gamma}$, if $2 < \gamma \le 3$. Numerical simulations in
finite networks are consistent with these analysis.

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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: eess