Analytical Period-m Motions in a Parametric, Quadratic Nonlinear Oscillator

被引：0
|
作者：
Luo, Albert C. J. [1 ]
Yu, Bo [1 ]
机构：
[1] Southern Illinois Univ Edwardsville, Edwardsville, IL 62026 USA
来源：
COMPLEX MOTIONS AND CHAOS IN NONLINEAR SYSTEMS | 2016年 / 15卷
关键词：
MATHIEU-DUFFING OSCILLATOR;
D O I：
10.1007/978-3-319-28764-5_9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Analytical solutions of period-m motions in a parametric quadratic nonlinear oscillator are obtained through the finite Fourier series, and the corresponding stability and bifurcation analysis for periodic motions are discussed. The bifurcation trees of periodic motions to chaos in a parametric oscillator with quadratic nonlinearity are presented. Numerical illustration shows good agreement between the analytical and numerical results.
引用
收藏
页码：247 / 258
页数：12
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