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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 515106, 18 pages
http://dx.doi.org/10.1155/2013/515106
Research Article

Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo System

1Department of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, China
2School of Mathematics and Information Science, Shaoguan University, Shaoguan 512005, China

Received 20 July 2013; Accepted 23 September 2013

Academic Editor: Yong Ren

Copyright © 2013 Yin Li 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 paper is devoted to investigate the tracking control and generalized synchronization of the hyperchaotic Lorenz-Stenflo system using the tracking model and the feedback control scheme. We suppress the chaos to unstable equilibrium via three feedback methods, and we achieve three globally generalized synchronization controls. Novel tracking controllers with corresponding parameter update laws are designed such that the Lorenz-Stenflo systems can be synchronized asymptotically. Moreover, numerical simulations are presented to demonstrate the effectiveness, through the contrast between the orbits before being stabilized and the ones after being stabilized.