一类共振条件下两个自由度系统的同宿轨道  

On the Homoclinic Orbits in a Class of Two-Degree of Freedom Systems Under the Resonance Conditions

作　　者：王茂南[1] 徐振源[1] 

机构地区：[1]无锡轻工大学数学物理研究所,无锡214036

出　　处：《应用数学和力学》2001年第3期295-306,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目 !(19872 0 4 4 )

摘　　要：研究一类在参数和强迫激励下发生共振时的两个自由度系统 ,利用多重尺度法证明存在锁频于 Ω的周期解 ·　在一定条件下可变换成 Wiggins的系统 。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 exsitence of homoclinic orbits of the systems is given.

关 键 词：自由度系统 多重尺度法 同宿轨道 混沌 共振条件 HAMILTON系统 非线性 

分 类 号：O325[理学—一般力学与力学基础] O175.14[理学—力学]