Function combination synchronization of three chaotic complex systems

被引：13
|
作者：
Sun, Junwei [1 ]
Fang, Jie [1 ]
Wang, Yanfeng [1 ]
Cui, Guangzhao [1 ]
机构：
[1] Zhengzhou Univ Light Ind, Coll Elect & Informat Engn, Zhengzhou 450002, Peoples R China
来源：
OPTIK | 2016年 / 127卷 / 20期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Function combination synchronization; Dynamical property; Scaling function matrix; Lyapunov exponent; FUNCTION PROJECTIVE SYNCHRONIZATION; NONLINEAR-SYSTEMS; FRACTIONAL-ORDER; COMPOUND SYNCHRONIZATION; PARAMETERS;
D O I：
10.1016/j.ijleo.2016.04.088
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper, a novel chaotic complex system is proposed, whose dynamical properties in complex space are investigated for the first time. Furthermore, the scaling matrices are always chosen as the constant matrices in the previous combination synchronization schemes within two drive systems and one response system. Therefore, the combination synchronization with regard to the function scaling matrices, referred as the function combination synchronization, will be made the further research about three chaotic complex systems. Based on the Lyapunov stability theorem, three identical chaotic complex systems are considered and the appropriate control laws are designed to achieve the function combination synchronization. The corresponding numerical simulations are given to demonstrate the effectiveness and feasibility of the proposed scheme. (C) 2016 Elsevier GmbH. All rights reserved.
引用
收藏
页码：9504 / 9516
页数：13
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