Analytical solution of the damped Helmholtz-Duffing equation

被引：31

作者：

Elias-Zuniga, Alex ^{[1
]}

机构：

[1] Tecnol Monterrey, Monterrey 64849, NL, Mexico

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 12期

关键词：

Mixed-parity nonlinear oscillator; Quadratic nonlinearities; Damped Helmholtz-Duffing oscillator; Asymmetric behavior; OSCILLATOR; INTEGRABILITY;

D O I：

10.1016/j.aml.2012.06.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive a class of analytical solution of the damped Helmholtz-Duffing oscillator that is based on a recently developed exact solution for the undamped case. Our solution procedure indicates that this solution holds for specific system parametric choice values. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：2349 / 2353

页数：5

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