Position: Home > Articles > Periodic and Homoclinic Motions in Coupled, Nonlinear Oscillators
Journal of Jiangsu University (Natural Science Edition)
2003,24
(5)
23-27
耦合的非线性振动子的周期运动和同宿运动
作 者：
于霞;卢殿臣;田立新
单 位：
江苏大学非线性科学研究中心
关键词：
非线性振动子;同宿轨;周期轨;Melnikov方法
摘 要：
在强迫激励作用下的耦合的非线性振动子的动力学行为是非常复杂的,而理论分析是非线性振动研究的最基本方式 Melnikov方法是研究系统混沌运动的解析方法之一,笔者正是利用Melnikov方法研究了具有Vanderpol阻尼的这类振动子周期运动、同宿运动和混沌运动,得出这类振动系统产生次谐周期轨和Smale马蹄意义下的混沌的条件,并通过数值模拟说明了这类系统的混沌
译 名：
Periodic and Homoclinic Motions in Coupled, Nonlinear Oscillators
作 者：
YU Xia, LU Dianchen, TIAN Lixin(Center of Nonlinear Science Research, Jiangsu University, Zhenjiang, Jiangsu 212013, China)
关键词：
nonlinear oscillators; homoclinic orbit; periodic orbit; melnikov method
摘 要：
The dynamic motions of periodically forced, coupled oscillators are very complex; theoretical analysis is essential for their study. Melnikov method is one of the analytic methods for chaotic motion study. Melnikov method is applied to these oscillators with Van der pol damp. Homoclinic and periodic motions are studied. The criteria for the system producing subharmonic periodic orbits and Smale's chaos are obtained. At last the numerical simulation is carried out for this system.
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