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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 953265, 14 pages
http://dx.doi.org/10.1155/2014/953265
Research Article

Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems

1School of Information Science and Engineering, Yunnan University, Kunming 650091, China
2School of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming 650031, China
3Bureau of Asset Management, Yunnan University, Kunming 650091, China

Received 13 August 2013; Revised 25 October 2013; Accepted 30 October 2013; Published 3 February 2014

Academic Editor: Narcisa C. Apreutesei

Copyright © 2014 Xiaobing Zhou 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 investigates the combination-combination synchronization of four nonlinear complex chaotic systems. Based on the Lyapunov stability theory, corresponding controllers to achieve combination-combination synchronization among four different nonlinear complex chaotic systems are derived. The special cases, such as combination synchronization and projective synchronization, are studied as well. Numerical simulations are given to illustrate the theoretical analysis.