HOPF BIFURCATION OF NONLINEAR ADVERTISING CAPITAL MODEL WITH DISCRETE AND CONTINUOUS TIME DELAYED FEEDBACK

被引：0
|
作者：
Gao Rushan Ruan Jiong (Research Center and Laboratory of Mathematics for Nonlinear Science
机构：
来源：
Annals of Applied Mathematics | 2007年 / 03期
关键词：
advertising capital model; time delay; stability; Hopf bifurcation; normal form; center manifold;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper,stability and Hopf bifurcation of a nonlinear advertising ca- pital model with time delayed are studied.By analyzing the change of delay, we obtain several sufficient conditions on stable and unstable properties.When delay passes a critical value,Hopf bifurcation may appear.Furthermore,the di- rection and stability of bifurcating periodic solutions are investigated by normal form and center manifold theory.Additionally,we also have some discussion about the model with continuous time delay.
引用
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页码：264 / 272
页数：9
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