BOGDANOV-TAKENS BIFURCATION FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Cao, Jianzhi ^{[1
]}

Yuan, Rong ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Neutral functional differential equations; center manifold; Bogdanov-Takens bifurcation; normal forms; NORMAL FORMS; HOPF-BIFURCATION; SINGULARITY; PARAMETERS; SYSTEMS; VAN;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider a class of neutral functional differential equations (NFDEs). First, some feasible assumptions and algorithms are given for the determination of Bogdanov-Takens (B-T) singularity. Then, by employing the method based on center manifold reduction and normal form theory due to Faria and Magalhaes [4], a concrete reduced form for the parameterized NFDEs is obtained and the bifurcation behavior of the parameterized NFDEs is described. This result extend the B-T bifurcation analysis reported in [16]. Finally, two examples ilustrate the theoretical results.

引用

页数：12

共 17 条

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