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一类非线性金融系统分岔混沌拓扑结构与全局复杂性研究(Ⅰ)
引用本文:马军海,陈予恕.一类非线性金融系统分岔混沌拓扑结构与全局复杂性研究(Ⅰ)[J].应用数学和力学,2001,22(11):1119-1128.
作者姓名:马军海  陈予恕
作者单位:1. 天津大学管理学院,
2. 天津大学力学系,
基金项目:国家自然科学基金资助项目(19990510)
摘    要:首先从一类复杂金融系统的数学模型出发,分析这一模型所反映的我国宏观金融系统运行中可能出现的各种情况:平衡、稳定周期、分形、Hopf分岔、参数与Hopf分岔之间的关系、直到混沌运动等。通过理论分析和数值模拟计算来研究模型中各参数的变化情况,然后依此来分析这类金融系统局部产生复杂行为的条件,以及某一参数的变化对宏观经济政策的调整及对整个金融系统行为的影响情况,这一研究将有助于加深人们对各种金融政策杠杆作用的理解。

关 键 词:金融系统  分岔  混沌  拓扑结构  数值模拟  宏观经济运动  微分方程组
文章编号:1000-0887(2001)11-1119-10
修稿时间:2000年8月30日

Study for the Bifurcation Topological Structure and the Global Complicated Character of a Kind of Non-Linear Finance System(Ⅰ)
MA Jun_hai,CHEN Yu_shu.Study for the Bifurcation Topological Structure and the Global Complicated Character of a Kind of Non-Linear Finance System(Ⅰ)[J].Applied Mathematics and Mechanics,2001,22(11):1119-1128.
Authors:MA Jun_hai  CHEN Yu_shu
Institution:MA Jun_hai~1,CHEN Yu_shu~2
Abstract:Based on the mathematical model of a kind of complicated financial system, all possible things that the model shows in the operation of our country's macro_financial system were analyzed, such as balance, stable periodic, fractal, Hopf_bifurcation, the relationship between parameters and Hopf_bifurcations,and chaotic motion etc. By the changes of parameters of all economic meanings, the conditions on which the complicated behaviors occur in such a financial system, and the influence of the adjustment of the macro_economic policies and adjustment of some parameter on the whole financial system behavior were analyzed. This study will deepen people's understanding of the lever function of all kinds of financial policies.
Keywords:stable periodic  bifurcation chaotic  topological structure  global complicated character  finance system
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