Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synchronization on star graph with noise   We investigate synchronization in the Kuramoto model with noise on a star
graph. By revising the case of a complete graph, we propose a closed form of
self-consistency equation for the conventional order parameter and generalize
it for a star graph. Using the obtained self-consistency equation, we
demonstrate that there is a crossover between the abrupt synchronization at
small noise and the continuous phase transition for quite large noise. We probe
this crossover numerically and analytically.

18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas