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  • 李伟伟,李亮.一类生化反应模型的Hopf分支[J].广西科学院学报,2008,24(3):181-183.    [点击复制]
  • LI Wei-wei,LI Liang.Hopf Bifurcation of a Class of Biochemical Reaction Models[J].Journal of Guangxi Academy of Sciences,2008,24(3):181-183.   [点击复制]
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一类生化反应模型的Hopf分支
李伟伟1, 李亮2
0
(1.桂林电子科技大学数学与计算科学学院, 广西桂林 541004;2.伊犁师范学院数学系应用数学研究所, 新疆伊宁 835000)
摘要:
对一类生物化学振荡反应的Brussel振子模型进行定性分析,采用规范形理论讨论该模型Hopf分支存在的条件和稳定性.
关键词:  Hopf分支  细焦点  极限环  规范形  周期解
DOI:
投稿时间:2007-10-30修订日期:2008-03-06
基金项目:
Hopf Bifurcation of a Class of Biochemical Reaction Models
LI Wei-wei1, LI Liang2
(1.School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China;2.Department of Mathematics, Institute of Applied Mathematics, Ili Normal University, Yining, Xinjiang, 835000, China)
Abstract:
In this paper,a qualitative analysis of the biochemical Reaction Models was given.Not only the sufficient condition for occurrence of the Hopf bifurcation but also the stability of the Hopf bifurcation by Normal Form Theory were obtained.
Key words:  Hopf bifurcation  fine focus  limit cycle  canonical form  periodic solution

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