Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synchronization of an evolving complex hyper-network   In this paper, the synchronization in a hyper-network of coupled dynamical
systems is investigated for the first time. An evolving hyper-network model is
proposed for better describing some complex systems. A concept of joint degree
is introduced, and the evolving mechanism of hyper-network is given with
respect to the joint degree. The hyper-degree distribution of the proposed
evolving hyper-network is derived based on a rate equation method and obeys a
power law distribution. Furthermore, the synchronization in a hyper-network of
coupled dynamical systems is investigated for the first time. By calculating
the joint degree matrix, several simple yet useful synchronization criteria are
obtained and illustrated by several numerical examples.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an