Chaotic Motions of the Duffing-Van der Pol Oscillator with External and Parametric Excitations

被引：4
|
作者：
Zhou, Liangqiang [1 ]
Chen, Fangqi [1 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China
来源：
SHOCK AND VIBRATION | 2014年 / 2014卷
基金：
美国国家科学基金会; 中国博士后科学基金;
关键词：
HOMOCLINIC BIFURCATION; DYNAMICS; DRIVEN; SYSTEM;
D O I：
10.1155/2014/131637
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The chaotic motions of the Duffing-Van der Pol oscillator with external and parametric excitations are investigated both analytically and numerically in this paper. The critical curves separating the chaotic and nonchaotic regions are obtained. The chaotic feature on the system parameters is discussed in detail. Some new dynamical phenomena including the controllable frequency are presented for this system. Numerical results are given, which verify the analytical ones.
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收藏
页数：5
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