一类两个自由度系统的同宿轨道  

Homoclinic Orbits of Some Systems Having Two Degrees of Freedom

作　　者：王茂南[1] 徐振源[1] 

机构地区：[1]无锡轻工大学计算科学与信息传播系,江苏无锡214036

出　　处：《无锡轻工大学学报（食品与生物技术）》2001年第2期190-195,共6页Journal of Wuxi University of Light Industry

基　　金：国家自然科学基金!项目资助课题 (19872 0 44 )

摘　　要：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.

关 键 词：两处自由度系统 同宿轨道 混沌 多重尺度法 计算公式 

分 类 号：O175.14[理学—数学]