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Numerical Studies on the Synchronization of a Network of Mutually Coupled Simple Chaotic Systems by Sivaganesh, G.; Arulgnanam, A.; Seethalakshmi, A. N. is a scholarly article available to read on EtoBox.

What is Numerical Studies on the Synchronization of a Network of Mutually Coupled Simple Chaotic Systems about?

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.

Author

Sivaganesh, G.; Arulgnanam, A.; Seethalakshmi, A. N.

Published

2019

Language

EN