Melnikov vector function for high-dimensional maps

被引：5
作者：
Sun, JH
机构：
[1] Mathematics Department, Nanjing University
来源：
PHYSICS LETTERS A | 1996年 / 216卷 / 1-5期
关键词：
maps; exponential dichotomy; Melnikov function; transversal homoclinic point;
D O I：
10.1016/0375-9601(96)00263-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By using the exponential dichotomy and a unified geometrical method we calculate explicitly the Melnikov vector function assuring the existence of transversal homoclinic points for general perturbations of high-dimensional maps possessing a saddle connection, thus generalizing the results of Glasser et al. [SIAM J. Appl. Math. 49 (1989) 692] and Easton [Nonl. Anal. Theory Meth. Appl. 8 (1984) 1].
引用
收藏
页码：47 / 52
页数：6
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