USING MELNIKOV METHOD TO SOLVE SILNIKOV PROBLEMS

被引：150
作者：
LIN, XB
机构：
[1] Department of Mathematics, North Carolina State University, Raleigh
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1990年 / 116卷
关键词：
D O I：
10.1017/S0308210500031528
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A function space approach is employed to obtain bifurcation functions for which the zeros correspond to the occurrence of periodic or aperiodic solutions near heteroclinic or homoclinic cycles. The bifurcation function for the existence of homoclinic solutions is the limiting case where the period is infinite. Examples include generalisations of Silnikov's main theorems and a retreatment of a singularly perturbed delay differential equation.
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页码：295 / 325
页数：31
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