Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical studies on the synchronization of a network of mutually
  coupled simple chaotic systems   We present in this paper, the synchronization dynamics observed in a network
of mutually coupled simple chaotic systems. The network consisting of chaotic
systems arranged in a square matrix network is studied for their different
types of synchronization behavior. The chaotic attractors of the simple $2
\times 2$ matrix network exhibiting strange non-chaotic attractors in their
synchronization dynamics for smaller values of the coupling strength is
reported. Further, the existence of islands of unsynchronized and synchronized
states of strange non-chaotic attractors for smaller values of coupling
strength is observed. The process of complete synchronization observed in the
network with all the systems exhibiting strange non-chaotic behavior is
reported. The variation of the slope of the singular continuous spectra as a
function of the coupling strength confirming the strange non-chaotic state of
each of the system in the network is presented. The stability of complete
synchronization observed in the network is studied using the Master Stability
Function.

13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom