一类两个自由度系统的同宿轨道

Homoclinic Orbits of Some Systems Having Two Degrees of Freedom

研究了一类两个自由度系统 ,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为Wiggins的系统[1 ] ,给出了这类系统的同宿轨道的计算公式 .

Some systems having two degrees of freedom are investigated, the existence of the perioduc solution locked to Ω is proved by using of the method of multiple scale. The systems can be translated to the systems developed by Wiggins [1] under some conditions. This calculating fommula for detecting the homoclinic orbits of this systems is given.