Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of anti-bunched buses and local unidirectional Kuramoto
  oscillators   Inspired by our recent work that relates bus bunching as a phenomenon of
synchronisation of phase oscillators, we construct a model of Kuramoto
oscillators that follows an analogous interaction mechanism of local
unidirectional coupling. In the bus loop system, we can introduce a no-boarding
policy as a form of kicking force to achieve a stable staggered (anti-bunched)
state. For Kuramoto oscillators, it turns out that such stable anti-bunched
states can exist (without any additional kicking force) if the number of
oscillators are at least five. This correspondence between the bus loop system
and the local unidirectional Kuramoto oscillators leads to the insight on how
the bus loop system can remain staggered.

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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: math
13
The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex