Stability and Hopf bifurcations in a business cycle model with delay

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• 作者：Junhai Ma ; Qin Gao
• 关键词：Business cycle model ; Delay ; Normal form ; Center manifold theorem ; Hopf bifurcations
• 刊名：Applied Mathematics and Computation
• 出版年：2009
• 出版时间：15 September 2009
• 年：2009
• 卷：215
• 期：2
• 页码：829-834
• 全文大小：174 K

文摘

In this paper, a business cycle model with discrete delay is considered. We first investigate the stability of the equilibrium and the existence of Hopf bifurcations, and then the direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem. This research has an important theoretical value as well as practical meaning.