Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synchronization in dynamical systems coupled via multiple directed
  networks   We study synchronization and consensus in a group of dynamical systems
coupled via multiple directed networks. We show that even though the coupling
in a single network may not be sufficient to synchronize the systems,
combination of multiple networks can contribute to synchronization. We
illustrate how the effectiveness of a collection of networks to synchronize the
coupled systems depends on the graph topology. In particular, we show that if
the graph sum is a directed graph whose reversal contains a spanning directed
tree, then the network synchronizes if the coupling is strong enough. This is
intuitive as there is a root node that influence every other node via a set of
edges where each edge in the set is in one of the networks.

35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an