Bifurcation analysis for the Kaldor-Kalecki model with two delays

被引：6

作者：

Cao Jianzhi ^{[1
]}

Sun Hongyan ^{[1
]}

机构：

[1] Hebei Univ, Coll Math & Informat Sci, Key Lab Machine Learning & Computat Intelligence, Baoding, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

基金：

中国国家自然科学基金;

关键词：

Kaldor-Kalecki model; Hopf bifurcation; Stability switch; Periodic solution; Two delays; BUSINESS-CYCLE MODEL; HOPF-BIFURCATION; LIMIT-CYCLE; STABILITY; SYSTEM;

D O I：

10.1186/s13662-019-1948-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a Kaldor-Kalecki model of business cycle with two discrete time delays is considered. Firstly, by analyzing the corresponding characteristic equations, the local stability of the positive equilibrium is discussed. Choosing delay (or the adjustment coefficient in the goods market alpha) as bifurcation parameter, the existence of Hopf bifurcation is investigated in detail. Secondly, by combining the normal form method with the center manifold theorem, we are able to determine the direction of the bifurcation and the stability of the bifurcated periodic solutions. Finally, some numerical simulations are carried out to illustrate the theoretical results.

引用

页数：27

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