北京交通大学学报2013，Vol.37Issue(3)：139-142,4.
一类具有时滞的商业周期模型的Hopf分支
Hopf bifurcation of a business cycle model with time delay
摘要
Abstract
This paper investigates the dynamics property of a business cycle model with time delay.By using delay as bifurcation parameter,the authors discuss the stability of the equilibrium point and the conditions of business cycle caused by Hopf bifurcation.Then a multiple time scale technique is employed to calculate the normal form on the center manifold of system of delay defferential equations,which is much easier to implement in practice than the conventional method of center manifold reduction.Our results show that when time delay is small,the equilibrium is stable,i.e.economy steadily develops and when it is at its critical value,Hopf bifurcation happens,i.e.business cycle appears.关键词
商业周期模型/时滞/稳定性/Hopf分支Key words
business cycle model/time delay/ stability/ Hopf bifurcation分类
数理科学引用本文复制引用
于晋臣,彭名书,张彩艳..一类具有时滞的商业周期模型的Hopf分支[J].北京交通大学学报,2013,37(3):139-142,4.基金项目
国家自然科学基金资助项目(10871019) （10871019）
山东省高校科技计划项目资助(J12LI55) （J12LI55）
山东交通学院科研基金资助项目(Z201030,Z201203) （Z201030,Z201203）
