Exponential dichotomies, homoclinic orbits and methods of Melnikov

被引：0
|
作者：
Zeng, WY
Qian, XZ
Wang, ZC
机构：
[1] HUNAN LIGHT IND COLL, DEPT MATH, CHANGSHA 410007, PEOPLES R CHINA
[2] HUNAN UNIV, DEPT MATH, CHANGSHA 410082, PEOPLES R CHINA
来源：
ACTA MATHEMATICA SCIENTIA | 1996年 / 16卷 / 01期
关键词：
exponential dichotomies; homoclinic orbits; Melnikov functions;
D O I：
10.1016/S0252-9602(17)30786-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we construct, by using the theory of exponential dichotomies, a Melnikov-type function by which we can detect the existence of homoclinic orbits for the perturbed systems x = g(x) + epsilon h(t, x, epsilon). Our result of this paper may be complementary to that of K.J.Palmer([3]).
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页码：113 / 120
页数：8
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