Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three Formulations of the Kuramoto Model as a System of Polynomial
  Equations   We compare three formulations of stationary equations of the Kuramoto model
as systems of polynomial equations. In the comparison, we present bounds on the
numbers of real equilibria based on the work of Bernstein, Kushnirenko, and
Khovanskii, and performance of methods for the optimisation over the set of
equilibria based on the work of Lasserre, both of which could be of independent
interest.

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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg