Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 810626, 16 pages
http://dx.doi.org/10.1155/2012/810626
Research Article

Adaptive Modified Function Projective Synchronization between Two Different Hyperchaotic Dynamical Systems

M. M. El-Dessoky,1,2 M. T. Yassen,2 and E. Saleh2

1Department of Mathematics, Faculty of Science, King AbdulAziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Received 11 November 2011; Accepted 17 December 2011

Academic Editor: Jun-Juh Yan

Copyright © 2012 M. M. El-Dessoky et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.