Local Hopf Bifurcation and Stability of Limit Cycle in a Delayed Kaldor-Kalecki Model

被引：8

作者：

Kaddar, A. ^{[1
]}

Alaoui, H. Talibi ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2009年 / 14卷 / 03期

关键词：

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

D O I：

10.15388/NA.2009.14.3.14499

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a delayed Kaldor-Kalecki business cycle model. We first consider the existence of local Hopf bifurcation, and we establish an explicit algorithm for determining the direction of the Hopf bifurcation and the stability or instability of the bifurcating branch of periodic solutions using the methods presented by O. Diekmann et al. in [1]. In the end, we conclude with an application.

引用

页码：333 / 343

页数：11

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