Bogdanov-Takens bifurcation of a polynomial differential system in biochemical reaction

被引：12

作者：

Tang, YL ^{[1
]}

Zhang, WN ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 48卷 / 5-6期

关键词：

polynomial system; degenerate vector field; Bogdanov-Takens bifurcation; universal; unfolding; bifurcation curves;

D O I：

10.1016/j.camwa.2003.05.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a polynomial differential system of degree p + q, which was given from a general multimolecular reaction in biochemistry as a theoretical problem of concentration kinetics. Although its local bifurcations are investigated in [1], a bifurcation of codimension 2 at a cusp remains to be considered. In this paper, such a bifurcation, called Bogdanov-Takens bifurcation, is discussed and the corresponding universal unfolding is given so as to complete the analysis of local bifurcations for the system. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：869 / 883

页数：15

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