Bifurcation from double eigenvalue for nonlinear equation with third-order nondegenerate singularity

被引：0

作者：

Zhang, Qiang ^{[1
,2
]}

Yan, Dongming ^{[2
,3
]}

Pan, Zhigang ^{[2
,4
]}

机构：

[1] Civil Aviat Flight Univ China, Sch Comp Sci, Guanghan 618307, Sichuan, Peoples R China

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

[3] Zhejiang Univ Finance & Econ, Sch Math & Stat, Hangzhou 310018, Zhejiang, Peoples R China

[4] Southwest Jiaotong Univ, Coll Math, Chengdu 610031, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 220卷

关键词：

Nonlinear equation; Bifurcation; Eigenvalue; Lyapunov-Schmidt; Singularity;

D O I：

10.1016/j.amc.2013.06.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the steady state bifurcation from a double eigenvalue for nonlinear equation with singularity being second-order fully degenerate and third-order nondegenerate is investigated. By the normalized Lyapunov-Schmidt reduction method, the precise criteria for the existence and nonexistence of bifurcation and the topological properties of regular bifurcated branches are obtained. (c) 2013 Elsevier Inc. All rights reserved.

引用

页码：549 / 559

页数：11

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