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.
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页码：549 / 559
页数：11
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