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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 986359, 7 pages
http://dx.doi.org/10.1155/2014/986359
Research Article

State Observer Synchronization Used in the Three-Dimensional Duffing System

1College of Engineering, Bohai University, Jinzhou 121013, China
2Department of Electronic Science and Technology, Harbin Institute of Technology, Harbin 150001, China
3Higher Vocational College, Bohai University, Jinzhou 121013, China

Received 20 February 2014; Accepted 10 March 2014; Published 3 April 2014

Academic Editor: Shen Yin

Copyright © 2014 Jian-Qun Han 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

Synchronization of chaotic systems has attracted extensive concern in the past few years. In this study, we investigate a new structure of Duffing system by the variable decomposition method. Then, we analyze the state observer synchronization based on the new Duffing system. It is proved theoretically that the designed observer can keep synchronization with Duffing chaotic system in transmitter. The design is presented reasonably with the conditional Lyapunov exponents, and its effectiveness is clearly shown in simulation results.