Chaotic dynamic behavior analysis and control for a financial risk system

According to the risk management process of financial markets,a financial risk dynamic system is constructed in this paper.Through analyzing the basic dynamic properties,we obtain the conditions for stability and bifurcation of the system based on Hopf bifurcation theory of nonlinear dynamic systems...

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Bibliographic Details
Published in:Chinese physics B 2013-03, Vol.22 (3), p.256-261
Main Author: 张晓丹 刘祥东 郑媛 刘澄
Format: Article
Language:English
Subjects:
Chaos theory
Control systems
Controllers
Dynamic tests
Dynamical systems
Markets
Mathematical models
Nonlinear dynamics
Risk
分岔理论
反馈增益矩阵
控制器设计
混沌
行为分析
金融市场
非线性动态系统
风险系统
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Summary:According to the risk management process of financial markets,a financial risk dynamic system is constructed in this paper.Through analyzing the basic dynamic properties,we obtain the conditions for stability and bifurcation of the system based on Hopf bifurcation theory of nonlinear dynamic systems.In order to make the system＇s chaos disappear,we select the feedback gain matrix to design a class of chaotic controller.Numerical simulations are performed to reveal the change process of financial market risk.It is shown that,when the parameter of risk transmission rate changes,the system gradually comes into chaos from the asymptotically stable state through bifurcation.The controller can then control the chaos effectively.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/3/030509