Synchronization of a chaotic finance system

被引:78
作者
Zhao, Xiaoshan [1 ]
Li, Zhenbo [1 ]
Li, Shuang [2 ]
机构
[1] Tianjin Univ Technol & Educ, Dept Math & Phys, Tianjin 300222, Peoples R China
[2] Xian Univ Finance & Econ, Sch Stat, Xian 710100, Peoples R China
基金
中国国家自然科学基金;
关键词
Chaos synchronization; Feedback control; Active control; Chaotic finance system; FEEDBACK-CONTROL; GLOBAL SYNCHRONIZATION; UNCERTAIN PARAMETERS; ADAPTIVE-CONTROL;
D O I
10.1016/j.amc.2010.07.017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Synchronization strategies of a three-dimensional chaotic finance system are investigated in this paper. Based on Lyapunov stability theory and Routh-Hurwitz criteria, some effective controllers are designed for the global asymptotic synchronization on different conditions. When the system parameters are known, the hybrid feedback control and a method based on special matrix structure are adopted respectively, to realize the synchronization of the chaotic finance system. When the parameters are unknown, the active control is extended and introduced to realize the synchronization. Numerical simulations show the validity and feasibility of the synchronization schemes. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.
引用
收藏
页码:6031 / 6039
页数:9
相关论文
共 23 条
[1]   Complex dynamics and phase synchronization in spatially extended ecological systems [J].
Blasius, B ;
Huppert, A ;
Stone, L .
NATURE, 1999, 399 (6734) :354-359
[2]   Global synchronization of chaotic systems via linear balanced feedback control [J].
Chen, Heng-Hui .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (01) :923-931
[3]  
Chua L. O., 1993, Journal of Circuits, Systems and Computers, V3, P93, DOI 10.1142/S0218126693000071
[4]   Synchronizing chaotic systems using control based on a special matrix structure and extending to fractional chaotic systems [J].
Hu, Jianbing ;
Han, Yan ;
Zhao, Lingdong .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (01) :115-123
[5]  
KOCAREV L, 1995, PHYS REV LETT, V612, P7
[6]  
Kuramoto Y., 1984, Springer Series in Synergeticsg, P111, DOI [10.1007/978-3-642-69689-37, 10.1007/978-3-642-12601-7]
[7]   DC-bus voltage control of three-phase AC/DC PWM converters using feedback linearization [J].
Lee, DC ;
Lee, GM ;
Lee, KD .
IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, 2000, 36 (03) :826-833
[8]   Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication [J].
Li, CD ;
Liao, XF ;
Wong, KW .
PHYSICA D-NONLINEAR PHENOMENA, 2004, 194 (3-4) :187-202
[9]   Connecting the Lorenz and Chen systems via nonlinear control [J].
Li, Dequan ;
Yin, Zhixiang .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (03) :655-667
[10]   Global synchronization of a class of chaotic systems with a scalar transmitted signal [J].
Lu, JG ;
Xi, YG ;
Wang, XF .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (04) :1431-1437