Effects of Delayed Feedback on a Parametrically Excited System with Quadratic and Cubic Nonlinearities

被引：0
|
作者：
Shang, H. L. [1 ]
Xu, J. [1 ]
机构：
[1] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China
来源：
ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4 | 2008年 / 96卷
关键词：
D O I：
10.1088/1742-6596/96/1/012201
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A delayed position feedback is considered to investigate the local and global. dynamics induced by the delay in a parametrically excited system. A method is proposed to obtain the approximate resonant solution from which one can easily predict the delay-induced bifurcation branches. Also, the basin of attraction is obtained numerically when single equilibrium or three equilibriums Occur in the system under consideration. It is found that the appropriate choice of the time delay and the feedback gain can improve the fractal of the boundary of the basin and stabilize the motion to the expected equilibrium state.
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页数：7
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