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
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
收藏
页码:2171 / 2182
页数:12
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