一類金融市場模型的混沌控制

針對一類非線性金融市場模型，研究了其Hope 分岔?xiàng)l件，在此基礎(chǔ)上對系統(tǒng)的混沌行為進(jìn)行了控制。首先利用諧波平衡法和分岔理論獲得了系統(tǒng)Hope 分岔的充分條件，然后采用周期激勵法和恒定外激勵法，將系統(tǒng)的混沌行為有效控制到穩(wěn)定的周期軌道，并
與金融市場相結(jié)合，說明混沌的產(chǎn)生與金融危機(jī)之間的關(guān)系，并由此得出為了防止金融危機(jī)的爆發(fā)，應(yīng)該采取的相應(yīng)的措施，并給出了相應(yīng)的仿真。
關(guān)鍵詞：金融市場；Hope 分岔；金融危機(jī)；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