一类金融市场模型的混沌控制

针对一类非线性金融市场模型，研究了其Hope 分岔条件，在此基础上对系统的混沌行为进行了控制。首先利用谐波平衡法和分岔理论获得了系统Hope 分岔的充分条件，然后采用周期激励法和恒定外激励法，将系统的混沌行为有效控制到稳定的周期轨道，并
与金融市场相结合，说明混沌的产生与金融危机之间的关系，并由此得出为了防止金融危机的爆发，应该采取的相应的措施，并给出了相应的仿真。
关键词：金融市场；Hope 分岔；金融危机；混沌；控制
Abstract:By the analysis of Hope bifurcation , a nonlinear chaotic financial market model is
controlled . At first , a sufficient condition for Hope bifurcation is derived on the basis of
amplitude of approximate fundamental harmonics . Then, periodical and unvarying exciting force method is used to suppress the chaotic motions os the system . Combined with the financial market , it is explained the relation between chaos and financial crisis . Thereout it is gained the adopting measures against financial crisis and corresponding simulation .
Key Words:financial market;Hope bifurcation; financial crisis;chaos;control