Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 437156, 19 pages
http://dx.doi.org/10.1155/2011/437156
Research Article

Generalized Projective Synchronization for Different Hyperchaotic Dynamical Systems

M. M. El-Dessoky1,2 and E. Saleh2

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

Received 14 July 2011; Accepted 24 August 2011

Academic Editor: Recai Kilic

Copyright © 2011 M. M. El-Dessoky and E. Saleh. 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

Projective synchronization and generalized projective synchronization have recently been observed in the coupled hyperchaotic systems. In this paper a generalized projective synchronization technique is applied in the hyperchaotic Lorenz system and the hyperchaotic Lü. The sufficient conditions for achieving projective synchronization of two different hyperchaotic systems are derived. Numerical simulations are used to verify the effectiveness of the proposed synchronization techniques.