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19-03-2020 | Research Article-Systems Engineering | Issue 8/2020

Arabian Journal for Science and Engineering 8/2020

Dual Compound–Compound Synchronization of Twelve n-Dimensional Dynamical Systems

Journal:
Arabian Journal for Science and Engineering > Issue 8/2020
Author:
Aysha Ibraheem

Abstract

A dual synchronization scheme combined with compound–compound synchronization is proposed. In usual compound–compound synchronization scheme, synchronization has been achieved for six dynamical systems, while in the presented scheme compound–compound synchronization has been developed in the dual synchronization frame involving twelve dynamical systems. Numerous synchronization schemes such as dual compound, dual combination, compound–compound and compound synchronization may be derived as particular cases of the presented scheme. By employing nonlinear control method and Lyapunov stability criteria, controllers are designed. Illustrations are presented using Genesio-Tesi and Wang chaotic systems. Computational results are presented to show the effectiveness of the proposed methodology. A good agreement has been obtained between analytical methodology and numerical treatment.

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