动态分歧在Keynes经济模型上的应用  

The Application of Dynamic Bifurcation on Keynes Economic Model

作　　者：吴子轩 WU Zixuan(School of Mathematics, Sichuan University, Chengdu Sichuan 610064, China)

机构地区：[1]四川大学数学学院,四川成都610064

出　　处：《乐山师范学院学报》2018年第4期15-19,共5页Journal of Leshan Normal University

摘　　要：文章讨论了分歧理论在经济动态变化的Keynes模型上的应用,通过抽象建立化数学模型、特征值和Hopf分歧定理的方法研究方程在参数临界值处的分歧,并应用于解释社会经济生产力的变化与经济发展方式的变化的联系。全文分为三部分:第一部分介绍了分歧现象和Keynes经济理论的基本内容;第二部分建立了Keynes经济理论的微分方程模型,并利用Hopf分歧定理讨论方程在参数临界值处的分歧状态;第三部分将数学模型的定理结果应用于解释经济社会生产力与经济发展方式的深刻联系。This paper discusses the application of bifurcation theorem on dynamic Keynes Economic Model. By abstracting the mathematical model,eigenvalue and Hopf bifurcation theorem,the paper studies the bifurcation of the equation at the critical value of the parameter. And it is applied to explain the rela-tionship between the changes of social economic productivity and economic development mode. The paper is divided into three parts ： the first part introduces the bifurcation phenomenon and the Keynesian economic theory;the second part builds the differential equation model of Keynes economic theory and discuss the bi-furcation status at the threshold value by Hopf bifurcation theorem; the third part interprets the relationship between theorem results of mathematical model and social productivity and economic development.

关 键 词：Keynes经济模型 HOPF分歧 周期轨道 分歧 

分 类 号：O175.2[理学—数学]