应用数学和力学(英文版)
應用數學和力學(英文版)
응용수학화역학(영문판)
APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION)
2001年
3期
340-352
,共13页
a two-degree-of-freedom system%method of multiple scales%periodic solution%homoclinic orbit%chaos
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 Ω 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.
