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

• 作者: Gao Rushan Ruan Jiong
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 非线性广告资本模型 常微分方程 时滞 稳定性 HOPF分歧
• 年，卷（期）: 2007,（3）
• 页码范围: 264-272
• 页数: 9页
• 分类号: O175.1

摘要

<正>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.