Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Natural Ordering and Uniform Tidal Effects in Globally Coupled Phase
  Oscillator Models   Globally coupled phase oscillator models, such as the Kuramoto model, exhibit
spontaneous collective synchronization. Such models can be restated in terms of
interactions within and between subsets of oscillators. An approximation for
the internal structure of coherent subsets of oscillators can be made based on
the observations of natural ordering and uniform tidal effects. The
approximation is seen to perform well for predicting the microstructure in a
variety of phase oscillator models.

21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th