Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synchronization of coupled chaotic maps   We prove a sufficient condition for synchronization for coupled
one-dimensional maps and estimate the size of the window of parameters where
synchronization takes place. It is shown that coupled systems on graphs with
positive eigenvalues (EVs) of the normalized graph Laplacian concentrated
around 1 are more amenable for synchronization. In the light of this condition,
we review spectral properties of Cayley, quasirandom, power-law graphs, and
expanders and relate them to synchronization of the corresponding networks. The
analysis of synchronization on these graphs is illustrated with numerical
experiments. The results of this paper highlight the advantages of random
connectivity for synchronization of coupled chaotic dynamical systems.

31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc