Periodic solution to nonlinear oscillators without artificial noises by the homotopy perturbation method

被引：2
作者：
Wu, Yue [1 ]
机构：
[1] Shanghai Univ Polit Sci & Law, Coll Econ & Management, Shanghai, Peoples R China
来源：
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL | 2019年 / 38卷 / 3-4期
关键词：
Nonlinear oscillator; periodic solution; chaotic solution; noise; VARIATIONAL ITERATION METHOD; STABILITY ANALYSIS; FORMULATION; PRINCIPLE; EQUATIONS;
D O I：
10.1177/1461348418800902
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
This paper elucidates a wrong trend in solving nonlinear oscillators. The homotopy perturbation method leads to a period solution to a nonlinear oscillator with high nonlinearity, while the Parker-Sochacki method results in a chaotic one and it is invalid for solving nonlinear oscillators.
引用
收藏
页码：1433 / 1438
页数：6
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