Dynamic analysis and control of a new hyperchaotic finance system

被引：158

作者：

Yu, Haojie ^{[1
]}

Cai, Guoliang ^{[1
]}

Li, Yuxiu ^{[1
]}

机构：

[1] Jiangsu Univ, Nonlinear Sci Res Ctr, Zhenjiang, Jiangsu, Peoples R China

来源：

NONLINEAR DYNAMICS | 2012年 / 67卷 / 03期

关键词：

Hyperchaos; Lyapunov exponent; Bifurcation; Speed feedback control; Linear feedback control; ADAPTIVE-CONTROL; SYNCHRONIZATION; BIFURCATION; SET;

D O I：

10.1007/s11071-011-0137-9

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a new hyperchaotic finance system which is constructed based on a chaotic finance system by adding an additional state variable is presented. The basic dynamical behaviors of this hyperchaotic finance system are investigated, such as the equilibrium, stability, hyperchaotic attractor, Lyapunov exponents, and bifurcation analysis. Furthermore, effective speed feedback controllers and linear feedback controllers are designed for stabilizing hyperchaos to unstable equilibrium points. Numerical simulations are given to illustrate and verify the results.

引用

页码：2171 / 2182

页数：12

共 15 条

[1]

Cai GL, 2008, CHINESE PHYS B, V17, P2412, DOI 10.1088/1674-1056/17/7/014

[2] Modified projective synchronization of chaotic systems with disturbances via active sliding mode control [J].

Cai, Na ;

Jing, Yuanwei ;

Zhang, Siying .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (06) :1613-1620

[3] Complex economic dynamics: Chaotic saddle, crisis and intermittency [J].

Chian, Abraham C. -L. ;

Rempel, Erico L. ;

Rogers, Colin .

CHAOS SOLITONS & FRACTALS, 2006, 29 (05) :1194-1218

[4] Delayed feedback control and bifurcation analysis of Rossler chaotic system [J].

Ding, Yuting ;

Jiang, Weihua ;

Wang, Hongbin .

NONLINEAR DYNAMICS, 2010, 61 (04) :707-715

[5] Chaos and Hopf bifurcation of a finance system [J].

Gao, Qin ;

Ma, Junhai .

NONLINEAR DYNAMICS, 2009, 58 (1-2) :209-216

[6] Chaos in economics and finance [J].

Guegan, D. .

ANNUAL REVIEWS IN CONTROL, 2009, 33 (01) :89-93

[7]

Igor E., 2009, J ECON DYN CONTROL, V33, P166

[8]

Jian JG, 2009, LECT NOTES COMPUT SC, V5551, P253, DOI 10.1007/978-3-642-01507-6_30

[9] Feedback and adaptive control and synchronization of a set of chaotic and hyperchaotic systems [J].

Tao, Chaohai ;

Liu, Xuefei .

CHAOS SOLITONS & FRACTALS, 2007, 32 (04) :1572-1581

[10] A simple adaptive control for full and reduced-order synchronization of uncertain time-varying chaotic systems [J].

Vincent, U. E. ;

Guo, Rongwei .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (11) :3925-3932

← 1 2 →