SINGULAR PERTURBATIONS OF HOMOCLINIC ORBITS IN R4

被引：18

作者：

ECKHAUS, W

机构：

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1992年 / 23卷 / 05期

关键词：

SINGULAR PERTURBATIONS; SPLITTING OF HOMOCLINIC ORBITS;

D O I：

10.1137/0523071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A rigorous asymptotic method is developed for the study of a class of singularly perturbed ODE's which in the limit epsilon down 0 have a homoclinic orbit. It is shown that the homoclinic orbit does not survive the perturbation and suffers an "exponentially small splitting."

引用

页码：1269 / 1290

页数：22

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