Journal of Applied Mathematics
Volume 2012 (2012), Article ID 974639, 11 pages
http://dx.doi.org/10.1155/2012/974639
Research Article

Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application

Wen Tan,1 Feng Ling Jiang,1 Chuang Xia Huang,2 and Lan Zhou1

1College of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China
2College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410076, China

Received 16 January 2012; Accepted 15 April 2012

Academic Editor: Jitao Sun

Copyright © 2012 Wen Tan 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

A new controller design method is proposed to synchronize the fractional-order hyperchaotic system through the stability theory of fractional calculus; the synchronization between two identical fractional-order Chen hyperchaotic systems is realized by designing only two suitable controllers in the response system. Furthermore, this control scheme can be used in secure communication via the technology of chaotic masking using the complex nonperiodic information as trial message, and the useful information can be recovered at the receiver. Numerical simulations coincide with the theoretical analysis.