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标题：Simple-Zero and Double-Zero Singularities of a Kaldor-Kalecki Model of Business Cycles with Delay
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作者：Xiaoqin P. Wu
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2009
卷号：2009
DOI：10.1155/2009/923809
出版社：Hindawi Publishing Corporation
摘要：We study the Kaldor-Kalecki model of business cycles with delay in both the gross product and the capital stock. Simple-zero and double-zero singularities are investigated when bifurcation parameters change near certain critical values. By performing center manifold reduction, the normal forms on the center manifold are derived to obtain the bifurcation diagrams of the model such as Hopf, homoclinic and double limit cycle bifurcations. Some examples are given to confirm the theoretical results.