Analytical and numerical studies for chaotic dynamics of a duffing oscillator with a parametric force

被引：0
|
作者：
Wang Yan-Qun [1 ]
Wu Qin
机构：
[1] Hengyang Normal Univ, Dept Math, Hengyang 421008, Peoples R China
[2] Guangdong Med Coll, Sch Basic Med Sci, Dongguan 523808, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2007年 / 48卷 / 03期
关键词：
general solution; Melnikov function; period doubling; chaos;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The chaotic dynamics of a Duffing oscillator with a parametric force is investigated. By using the, direct perturbation technique, we analytically obtain the general solution of the 1st-order equation. Through the boundedness condition of the general solution we get the famous Melnikov function predicting the onset of chaos. When the parametric and external forces are strong, numerical simulations show that, increasing the amplitude of the parametric or external force can lead the system into chaos via period doubling.
引用
收藏
页码：477 / 480
页数：4
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