Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 572724, 11 pages
doi:10.1155/2009/572724
Research Article

Chaos Synchronization between Two Different Fractional Systems of Lorenz Family

A. E. Matouk1,2

1Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
2Mathematics Department, Faculty of Science, Hail University, Hail 2440, Saudi Arabia

Received 25 November 2008; Accepted 23 February 2009

Academic Editor: Elbert E. Neher Macau

Copyright © 2009 A. E. Matouk. 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 chaos synchronization between two different fractional order chaotic systems of Lorenz family. The fractional order Lü system is controlled to be the fractional order Chen system, and the fractional order Chen system is controlled to be the fractional order Lorenz-like system. The analytical conditions for the synchronization of these pairs of different fractional order chaotic systems are derived by utilizing Laplace transform. Numerical simulations are used to verify the theoretical analysis using different values of the fractional order parameter.