Chaos control of Duffing systems by random phase

被引：17
|
作者：
Li, S [1 ]
Xu, W [1 ]
Li, RH [1 ]
机构：
[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
来源：
ACTA PHYSICA SINICA | 2006年 / 55卷 / 03期
关键词：
random phase; chaos control; the top Lyapunov exponent; Poincare surface of section;
D O I：
10.7498/aps.55.1049
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the effect of random phase for Duffing systems is investigated. We show that random phase can generate chaos or suppress chaos by the average of top Lyapunov exponent, which is computed based on Khasminskii's spherical coordinate formulation for linear stochastic systems. In addition, phase portraits, Poincare surface of section and time evolution are studied to confirm the obtained results. Both methods lead to fully consistent results.
引用
收藏
页码：1049 / 1054
页数：6
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