Journal of Applied Mathematics
Volume 2013 (2013), Article ID 151025, 5 pages
Research Article

Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode Controller

College of Science, Northwest A&F University, Yangling, Shaanxi 712100, China

Received 16 September 2012; Accepted 19 January 2013

Academic Editor: Magdy A. Ezzat

Copyright © 2013 Yan-Ping Wu and Guo-Dong Wang. 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.


The synchronization between fractional-order hyperchaotic systems and integer-order hyperchaotic systems via sliding mode controller is investigated. By designing an active sliding mode controller and choosing proper control parameters, the drive and response systems are synchronized. Synchronization between the fractional-order Chen chaotic system and the integer-order Chen chaotic system and between integer-order hyperchaotic Chen system and fractional-order hyperchaotic Rössler system is used to illustrate the effectiveness of the proposed synchronization approach. Numerical simulations coincide with the theoretical analysis.