Abstract
This paper presents the dual combination-combination multi switching anti synchronization between two pairs of drive chaotic systems and two pairs of response chaotic systems. The multiple combination of chaotic systems and multi switching results in a complex dynamic behaviour, which is interesting to study. Using Lya- punov stability theory, sufficient conditions are achieved and suitable controllers are designed to realize the desired synchronization among eight chaotic systems. Corresponding theoretical analysis is presented and numerical simulations performed to demonstrate the effectiveness of the proposed scheme. https://doi.org/10.28919/jmcs/3410
Highlights
The chaos synchronization problem, because of its interdisciplinary nature, has received interest from researchers across the academic fields since it was first introduced by Pecora andA
This paper presents the dual combination-combination multi switching anti synchronization between two pairs of drive chaotic systems and two pairs of response chaotic systems
The potential applications of chaos synchronization to engineering systems, information processing, secure communications, and biomedical science amongst many others has led to a vast variety of research studies in this topic of nonlinear science [2,3,4,5]
Summary
The chaos synchronization problem, because of its interdisciplinary nature, has received interest from researchers across the academic fields since it was first introduced by Pecora and. Various kinds of synchronization have been reported and presented in a chaotic systems using many effective methods such as complete synchronization, anti synchronization, projective synchronization, active control, adaptive control, backstepping control, and so on [6,7,8,9,10,11]. The authors have combined the idea of multi switching [12, 13] with dual synchronization [14, 15] and extended it to combination combination [16] anti synchronization of four chaotic systems. The novel scheme, dual combination combination multi switching anti synchronization involves eight chaotic systems. This work is a significant improvement and extension of existing multi switching synchronization schemes. To demonstrate the effectiveness of the proposed method numerical simulations have been performed
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