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1. COMPLETE SYNCHRONIZATION, ANTI-SYNCHRONIZATION AND HYBRID SYNCHRONIZATION OF IDENTICAL 5D HYPERCHAOTIC SYSTEMS by K. S. Oyeleke1, B. A. Idowu2, O. I. Olusola1, O. W. Abulatan1 and O. O. Oyebola Volume 51 (May, 2019 Issue)
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COMPLETE SYNCHRONIZATION, ANTI-SYNCHRONIZATION AND HYBRID SYNCHRONIZATION OF IDENTICAL 5D HYPERCHAOTIC SYSTEMS

K. S. Oyeleke, B. A. Idowu, O. I. Olusola, O. W. Abulatan and O. O. Oyebola

Nonlinear Dynamics Research Group, Department of Physics, University of Lagos, Akoka, Lagos, Nigeria.

Department of Physics, Lagos State University, Ojo, Lagos, Nigeria.

Abstract

This work examines the complete synchronization, anti-synchronization and hybrid synchronization based on nonlinear active control approach between two identical Lorenz 5D hyperchaotic systems. Stabilization of error dynamics for each phenomenon is realized by satisfying two analytical approaches, namely, Lyapunov second method and linear system theory. These two approaches have not been fully extended to a 5-D system and especially the Lorenz 5-D hyperchaotic system, thus, its consideration in this work. Controllers are designed by using the relevant variable of drive and response systems. Theoretical analysis and numerical simulations are shown to verify the results.

Keywords: Complete synchronization, anti-synchronization, hybrid synchronization, Lorenz 5-D hyperchaotic system, Lyapunov second method, active control

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