BIFURCATION TREES OF PERIOD-1 MOTIONS TO CHAOS IN A QUADRATIC NONLINEAR OSCILLATOR WITH TIME-DELAYED DISPLACEMENT

被引：0
|
作者：
Luo, Albert C. J. [1 ]
Xing, Siyuan [1 ]
机构：
[1] Southern Illinois Univ, Dept Mech & Ind Engn, Edwardsville, IL 62026 USA
来源：
PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2015, VOL 4B | 2016年
关键词：
HARMONIC-BALANCE; DIFFERENTIAL EQUATIONS;
D O I：
暂无
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, periodic motions in a periodically forced, damped, quadratic nonlinear oscillator with time-delayed displacement are analytically predicted through' implicit discrete mappings. The implicit discrete maps are obtained from discretization of differential equation of such a quadratic nonlinear oscillator. From mapping structures, bifurcation trees of periodic motions are achieved analytically, and the corresponding stability and bifurcation analysis are completed through eigenvalue analysis. From the analytical prediction, numerical results of periodic motions are illustrated to verify such an analytical prediction.
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页数：7
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