NUMERICAL COMPUTATION OF SADDLE-NODE HOMOCLINIC BIFURCATION POINTS

被引：21

作者：

SCHECTER, S

机构：

[1] North Carolina State Univ, Raleigh, NC

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1993年 / 30卷 / 04期

关键词：

SADDLE-NODE HOMOCLINIC BIFURCATION; CONVERGENCE; STABILITY; BOUNDARY-VALUE PROBLEM; MELNIKOV INTEGRAL; VARIATIONAL EQUATION;

D O I：

10.1137/0730060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In two-parameter families of vector fields there can be curves in the parameter plane along which orbits homoclinic to hyperbolic equilibria occur. Such curves can end at a point where there is an orbit homoclinic to an equilibrium undergoing saddle-node or transcritical bifurcation. Convergence and stability results are presented for a method of approximating these special parameter values and their associated homoclinic orbits.

引用

页码：1155 / 1178

页数：24

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