A REVIEW ON THE SYNCHRONIZATION OF CHAOTIC SYSTEMS: CASE STUDY ON THE LORENZ SYSTEM

Abstract

“This review paper explores the synchronization of chaotic systems, with a focus on the Lorenz system as a case study. The study begins by analyzing a selection of research papers related to chaotic synchronization, summarizing their methodologies while eval uating the advantages and limitations of each approach“. The classical Lorenz system is then examined in depth through simulations that highlight key chaotic features such as the butterfly effect, phase diagrams and Lyapunov exponents. A novel aspect of this review involves extending the Lorenz system into its complex form and conducting sim ilar analyses to observe changes in chaotic behavior. Finally, various synchronization techniques are applied to the Lorenz system, and the experimental results are presented and discussed. This paper aims to provide a clear and comparative understanding of synchronization methods and their effectiveness, offering insights for future research in the field of chaotic systems.