SYNCHRONIZATION: IDENTICAL AND NON-IDENTICAL INVESTIGATION OF RUCKLIDGE SYSTEM

Abstract

This article explores the impact of synchronization, both identical and non-identical supporting systems with six different Co-efficient Matrices, on the Rucklidge chaotic system. Two paired chaotic systems are proposed to synchronize using the Active Control Algorithm (ACA). Six sets of different control functions originating from identical and non-identical Master/Drive systems. All synchronizing design demonstrates that six sets of different control functions are always perfectly applied and chaotic systems are significantly synchronized with six different co-efficient Matrices. Parameters are similar across identical pairings of chaotic systems however must be different for non-identical pairs. The feasibility and efficacy of synchronizing the state variables are derived from the error dynamics coefficient matrix. We analyze the effectiveness of synchronized identical and non-identical approaches to explore which control functions would provide better results. The non-identical pair is formed utilizing the Harb-Zohdy chaotic system with a unique initial value. In addition, numerical simulations are offered to validate and expand upon the theoretical findings.