Stability and bifurcation analysis for the Kaldor-Kalecki model with a discrete delay and a distributed delay

被引：15

作者：

Yu, Jinchen ^{[1
,2
]}

Peng, Mingshu ^{[1
]}

机构：

[1] Beijing JiaoTong Univ, Dept Math, Beijing 100044, Peoples R China

[2] Shandong Jiaotong Univ, Sch Sci, Jinan 250357, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 460卷

关键词：

Kaldor-Kalecki business cycle; Distributed time delay; Stability; Hopf bifurcation; HOPF-BIFURCATION; CYCLE;

D O I：

10.1016/j.physa.2016.04.041

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a Kaldor-Kalecki model of business cycle with both discrete and distributed delays is considered. With the corresponding characteristic equation analyzed, the local stability of the positive equilibrium is investigated. It is found that there exist Hopf bifurcations when the discrete time delay passes a sequence of critical values. By applying the method of multiple scales, the explicit formulae which determine the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are derived. Finally, numerical simulations are carried out to illustrate our main results. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：66 / 75

页数：10

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