Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hierarchical Synchrony of Phase Oscillators in Modular Networks   We study synchronization of sinusoidally coupled phase oscillators on
networks with modular structure and a large number of oscillators in each
community. Of particular interest is the hierarchy of local and global
synchrony, i.e., synchrony within and between communities, respectively. Using
the recent ansatz of Ott and Antonsen, we find that the degree of local
synchrony can be determined from a set of coupled low-dimensional equations. If
the number of communities in the network is large, a low-dimensional
description of global synchrony can be also found. Using these results, we
study bifurcations between different types of synchrony. We find that,
depending on the relative strength of local and global coupling, the transition
to synchrony in the network can be mediated by local or global effects.

36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an