Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determining the critical coupling of explosive synchronization
  transitions in scale-free networks by mean-field approximations   Explosive synchronization can be observed in scale-free networks when
Kuramoto oscillators have natural frequencies equal to their number of
connections. In the current work, we took into account mean-field
approximations to determine the critical coupling of such explosive
synchronization. The obtained equation for the critical coupling has an inverse
dependence with the network average degree. This expression differs from that
calculated when the frequency distributions are unimodal and even. In this
case, the critical coupling depends on the ratio between the first and second
statistical moments of the degree distribution. We also conducted numerical
simulations to verify our analytical results.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
35
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: stat
30
The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga