Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system

被引：120
作者：
Huang, Chengdai [1 ]
Cao, Jinde [2 ,3 ,4 ]
机构：
[1] Hubei Univ Arts & Sci, Sch Math & Comp Sci, Xiangyang 441053, Peoples R China
[2] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China
[3] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[4] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 473卷
基金：
中国国家自然科学基金;
关键词：
Synchronization; Anti-synchronization; Stability; Fractional order; Financial chaotic system; SECURE COMMUNICATION; TIME-DELAY; NONLINEAR DYNAMICS; IDENTIFICATION;
D O I：
10.1016/j.physa.2017.01.009
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper is concerned with the issues of synchronization and anti-synchronization for fractional chaotic financial system with market confidence by taking advantage of active control approach. Some sufficient conditions are derived to guarantee the synchronization and anti-synchronization for the proposed fractional system. Moreover, the relationship between the order and synchronization(anti-synchronization) is demonstrated numerically. It reveals that synchronization(anti-synchronization) is faster as the order increases. Finally, two illustrative examples are exploited to verify the efficiency of the obtained theoretical results. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：262 / 275
页数：14
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