Combination-Combination Anti-Synchronization of Four Fractional Order Identical Hyperchaotic Systems

In this manuscript, we investigate the methodology of combination-combination anti-synchronization of four identical fractional order hyperchaotic system. The methodology is implemented by considering a 4D fractional order hyperchaotic system. The controllers are constructed using adaptive control technique to ensure the combination-combination anti - synchronization. The synchronization schemes such as chaos control problem, projective anti-synchronization, combination anti-synchronization becomes the special cases of combination-combination anti-synchronization. The combination - combination scheme can additionally enhances the security of transmission of message signals. The theoretical results and numerical simulations are given to justify the validity and feasibility of the proposed control technique.

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