文章基本信息

标题：Bifurcation analysis for the Kaldor–Kalecki model with two delays
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作者：Cao Jianzhi ; Sun Hongyan
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-27
DOI：10.1186/s13662-019-1948-0
出版社：Hindawi Publishing Corporation
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 α) 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.
关键词：Kaldor–Kalecki model ; Hopf bifurcation ; Stability switch ; Periodic solution ; Two delays