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

Authors
Wang, MN Xu, ZY
Citation
Mn. Wang et Zy. Xu, On the homoclinic orbits in a class of two-degree-of-freedom systems underthe resonance conditions, APP MATH ME, 22(3), 2001, pp. 340-352
Citations number
3
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
22
Issue
3
Year of publication
2001
Pages
340 - 352
Database
ISI
SICI code
0253-4827(200103)22:3<340:OTHOIA>2.0.ZU;2-K
Abstract
A class of two-degree-of-freedom systems in resonance with an external, par ametric excitation is investigated, the existence of the periodic solutions locked to Omega is proved by the use of the method of multiple scales. Thi s systems can be transformed into the systems of Wiggins under some conditi ons. A calculating formula which determines the existence of homoclinic orb its of the systems is given.