  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.

Chaotic Dynamics