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一类两个自由度系统的同宿轨道
Homoclinic Orbits of Some Systems Having Two Degrees of Freedom
【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 .
【Abstract】 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】 两个自由度系统;
同宿轨道;
混沌;
多重尺度法;
【Key words】 systems having two degrees; homoclinic orbits; chaos; method of multipe scale.;
【Key words】 systems having two degrees; homoclinic orbits; chaos; method of multipe scale.;
【基金】 国家自然科学基金!项目资助课题 (19872 0 44 )
- 【文献出处】 无锡轻工大学学报 ,Journal of Wuxi University of Light Industry , 编辑部邮箱 ,2001年02期
- 【分类号】O175.14
- 【下载频次】31