Adaptive Modified Function Projective Synchronization between Two Different Hyperchaotic Dynamical Systems

Author:

El-Dessoky M. M.12,Yassen M. T.2,Saleh E.2

Affiliation:

1. Department of Mathematics, Faculty of Science, King AbdulAziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Abstract

This work investigates modified function projective synchronization between two different hyperchaotic dynamical systems, namely, hyperchaotic Lorenz system and hyperchaotic Chen system with fully unknown parameters. Based on Lyapunov stability theory, the adaptive control law and the parameter update law are derived to achieve modified function projective synchronized between two diffierent hyperchaotic dynamical systems. Numerical simulations are presented to demonstrate the effectiveness of the proposed adaptive controllers.

Funder

King Abdulaziz University

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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