On the homoclinic orbits in a class of two-degree-of-freedom systems under the resonance conditions

被引：4

作者：

Wang, MN ^{[1
]}

Xu, ZY ^{[1
]}

机构：

[1] Wuxi Univ Light Ind, Math & Phys Inst, Wuxi 214036, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2001年 / 22卷 / 03期

关键词：

a two-degree-of-freedom system; method of multiple scales; periodic solution; homoclinic orbit; chaos;

D O I：

10.1023/A:1015518822779

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of two-degree-of-freedom systems in resonance with an external, parametric excitation is investigated, the existence of the periodic solutions locked to Omega is proved by the use of the method of multiple scales. This systems can be transformed into the systems of Wiggins under some conditions. A calculating formula which determines the existence of homoclinic orbits of the systems is given.

引用

页码：340 / 352

页数：13