Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synchronization of coupled noisy oscillators: Coarse-graining from
  continuous to discrete phases   The theoretical description of synchronization phenomena often relies on
coupled units of continuous time noisy Markov chains with a small number of
states in each unit. It is frequently assumed, either explicitly or implicitly,
that coupled discrete-state noisy Markov units can be used to model
mathematically more complex coupled noisy continuous phase oscillators. In this
work we explore conditions that justify this assumption by coarse-graining
continuous phase units. In particular, we determine the minimum number of
states necessary to justify this correspondence for Kuramoto-like oscillators.

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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph