Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Network Synchronization with Convexity   In this paper, we establish a few new synchronization conditions for complex
networks with nonlinear and nonidentical self-dynamics with switching directed
communication graphs. In light of the recent works on distributed sub-gradient
methods, we impose integral convexity for the nonlinear node self-dynamics in
the sense that the self-dynamics of a given node is the gradient of some
concave function corresponding to that node. The node couplings are assumed to
be linear but with switching directed communication graphs. Several sufficient
and/or necessary conditions are established for exact or approximate
synchronization over the considered complex networks. These results show when
and how nonlinear node self-dynamics may cooperate with the linear diffusive
coupling, which eventually leads to network synchronization conditions under
relaxed connectivity requirements.

33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg