Theory and application of a nongeneric heteroclinic loop bifurcation

被引：0
|
作者：
Chow, SN [1 ]
Deng, B
Friedman, MJ
机构：
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
[2] Univ Nebraska, Dept Math & Stat, Lincoln, NE 68588 USA
[3] Univ Alabama, Dept Math Sci, Huntsville, AL 35899 USA
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 1999年 / 59卷 / 04期
关键词：
heteroclinic loop bifurcations; principal eigenvalues; twisted and nontwisted heteroclinic orbits; Melnikov functions; implicit function theorem;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Homoclinic and heteroclinic bifurcations from a heteroclinic loop are considered. The system under consideration has three parameters, two of which are not suitable for generic unfoldings. Analytical criteria in terms of derivatives to Melnikov's functions are given for nongeneric parameters. Four qualitatively distinct bifurcation diagrams are obtained. The result is used to give an explanation of a numerical finding on the generation of traveling pulsing waves in a two-phase flow problem.
引用
收藏
页码：1303 / 1321
页数：19
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