Cluster Synchronization of Networks of Chaotic Systems: A Comprehensive Review of Theory and Applications
Akshay Kumar Jaiswal, Bharat Bhushan Sharma · IETE Technical Review · 2024
Phenomenon of cluster synchronization has captured the curiosity of scientists in the study of nonlinear dynamics over the last few decades. It is a well-known and intriguing aspect of complex systems that has garnered significant attention in research. Many researchers have significantly addressed the synchronization of cluster-based networks with identical and non-identical systems in the literature. This review paper presents a detailed summary of overall developments in the domain of cluster synchronization of chaotic system networks. After introducing the chaotic systems and concept of cluster synchronization initially; the applicability of synchronization in several fields including secure communication, information processing, and the synchronization of complex networks, has been highlighted in the later part of the paper. In general, for meeting out the goal of cluster synchronization, several strategies including standard Lyapunov design- based approach, pinning control, observer-based control, time-delayed feedback control, adaptive synchronization etc. are prominently used in literature. The article briefly discusses these approaches and reviews their advantages and disadvantages along with some possible applications. The overarching goal of this literature review is to provide a comprehensive summary of current research on cluster synchronization in chaotic systems and to point the way toward promising avenues for further investigation. The overarching goal of this literature review is to provide a comprehensive summary of current research on cluster synchronization in chaotic systems and to point the way toward promising avenues for further investigation.