THE EXISTENCE OF TRANSVERSE HOMOCLINIC POINTS IN THE SITNIKOV PROBLEM

被引：29

作者：

DANKOWICZ, H

HOLMES, P

机构：

[1] Department of Theoretical and Applied Mechanics, Cornell University, Ithaca

[2] Princeton University, Princeton

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1995年 / 116卷 / 02期

关键词：

D O I：

10.1006/jdeq.1995.1044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Melnikov's method we are able to prove the existence of transverse homoclinic orbits and therefore the existence of a horseshoe in a special restricted three-body problem. This analysis is an alternative to the one described by Moser (''Stable and Random Motions in Dynamical Systems,'' Princeton Univ. Press, Princeton, NJ, 1973), based on Sitnikov's original work (Dokl. Akad. Nauk. USSR 133, No. 2 (1960), 303-306), where the task is accomplished using a more direct construction of the horseshoe. (C) 1995 Academic Press, Inc.

引用

页码：468 / 483

页数：16

共 8 条

[1] CHAOTIC PERTURBATIONS OF KDV .1. RATIONAL SOLUTIONS [J].