Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kuramoto model of coupled oscillators with a bi-harmonic coupling
  function   We study synchronization in a Kuramoto model of globally coupled phase
oscillators with a bi-harmonic coupling function, in the thermodynamic limit of
large populations. We develop a method for an analytic solution of
self-consistent equations describing uniformly rotating complex order
parameters, both for single-branch (one possible state of locked oscillators)
and multi-branch (two possible values of locked phases) entrainment. We show
that synchronous states coexist with the neutrally linearly stable asynchronous
regime. The latter has a finite life time for finite ensembles, this time grows
with the ensemble size as a power law.

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The categories of this paper are: eess
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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: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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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: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio