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
收藏
页码：1155 / 1178
页数：24
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