Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synchronization of Coupled Kuramoto Oscillators under Resource
  Constraints   A fundamental understanding of synchronized behavior in multi-agent systems
can be acquired by studying analytically tractable Kuramoto models. However,
such models typically diverge from many real systems whose dynamics evolve
under non-negligible resource constraints. Here we construct a system of
coupled Kuramoto oscillators that consume or produce resources as a function of
their oscillation frequency. At high coupling, we observe strongly synchronized
dynamics, whereas at low coupling we observe independent oscillator dynamics,
as expected from standard Kuramoto models. For intermediate coupling, which
typically induces a partially synchronized state, we empirically observe that
(and theoretically explain why) the system can exist in either (i) a state in
which the order parameter oscillates in time, or (ii) a state in which multiple
synchronization states are simultaneously stable. Whether (i) or (ii) occurs
depends upon whether the oscillators consume or produce resources,
respectively. Relevant for systems as varied as coupled neurons and social
groups, our study lays important groundwork for future efforts to develop
quantitative predictions of synchronized dynamics for systems embedded in
environments marked by sparse resources.

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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
3
The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int