Chaos Analysis and Control of Relative Rotation System with Mathieu-Duffing Oscillator

被引：0
|
作者：
Zhang, Yu [1 ]
Li, Longsuo [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
关键词：
D O I：
10.1155/2015/348462
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Chaos analysis and control of relative rotation nonlinear dynamic system with Mathieu-Duffing oscillator are investigated. By using Lagrange equation, the dynamics equation of relative rotation system has been established. Melnikov's method is applied to predict the chaotic behavior of this system. Moreover, the chaotic dynamical behavior can be controlled by adding the Gaussian white noise to the proposed system for the sake of changing chaos state into stable state. Through numerical calculation, the Poincare map analysis and phase portraits are carried out to confirm main results.
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页数：5
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