Articles written in Indian Academy of Sciences Conference Series
Volume 2 All articles Published: 16 September 2019 Article ID 0012 Special
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 its different types of synchronization behavior. The chaotic attractors of the simple 2 × 2 matrix networkexhibiting strange non-chaotic attractors (SNAs) in their synchronization dynamics for smaller values of the coupling strength are reported. Further, the existence of islands of unsynchronized and synchronized states of SNAs for smaller values of coupling strength is observed. The process of complete synchronization (CS) 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 CS observed in the network is studied using the master stability function.