Combination complex synchronization of three chaotic complex systems

被引：66
作者：
Sun, Junwei [1 ,2 ]
Cui, Guangzhao [1 ,2 ]
Wang, Yanfeng [1 ,2 ]
Shen, Yi [3 ,4 ]
机构：
[1] Zhengzhou Univ Light Ind, Coll Elect & Informat Engn, Zhengzhou 450002, Peoples R China
[2] Zhengzhou Univ Light Ind, Henan Key Lab Informat Based Elect Appliances, Zhengzhou 450002, Peoples R China
[3] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Hubei, Peoples R China
[4] Huazhong Univ Sci & Technol, Key Lab, Minist Educ Image Proc & Intelligent Control, Wuhan 430074, Hubei, Peoples R China
来源：
NONLINEAR DYNAMICS | 2015年 / 79卷 / 02期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Complex combination synchronization; Complex chaotic system; Complex scaling matrix; MODULE-PHASE SYNCHRONIZATION; PROJECTIVE SYNCHRONIZATION; NONLINEAR-SYSTEMS; LORENZ SYSTEM; ORDER; PARAMETERS;
D O I：
10.1007/s11071-014-1714-5
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, we firstly design a chaotic complex system and study its dynamical properties including invariance, dissipativity, equilibria, Lyapunov exponents, chaotic behavior, as well as chaotic attractors. What is more, the scaling matrices are always chosen as real matrices in previous combination synchronization schemes within two drive real systems and one response real system evolving in the same or inverse directions simultaneously. However, in many real-life applications, the drive-response systems may evolve in different directions with a constant intersection angle. Therefore, combination synchronization with regard to the complex scaling matrices, referred as combination complex synchronization, will be made the further research about three chaotic complex systems. Based on Lyapunov stability theory, three identical chaotic complex systems are considered and the corresponding controllers are designed to achieve the complex combination synchronization. The corresponding theoretical proofs and numerical simulations are given to demonstrate the validity and feasibility of the presented control technique.
引用
收藏
页码：953 / 965
页数：13
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