Hopf Bifurcation Analysis in a Delayed Kaldor-Kalecki Model of Business Cycle

被引：26

作者：

Kaddar, A. ^{[1
]}

Talibi Alaoui, H. ^{[1
]}

机构：

[1] Univ Chouaib Doukkali, Fac Sci, Dept Math & Informat, El Jadida, Morocco

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2008年 / 13卷 / 04期

关键词：

Kaldor-Kalecki business cycle; delayed differential equations; Hopf bifurcation; periodic solutions;

D O I：

10.15388/NA.2008.13.4.14550

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze the model of business cycle with time delay set forth by A. Krawiec and M. Szydlowski [1]. Our goal in this model is to introduce the time delay into capital stock and gross product in capital accumulation equation. The dynamics are studied in terms of local stability and of the description of the Hopf bifurcation, that is proven to exist as the delay (taken as a parameter of bifurcation) cross some critical value. Additionally we conclude with an application.

引用

页码：439 / 449

页数：11

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