Solution of the damped cubic-quintic Duffing oscillator by using Jacobi elliptic functions

被引：18

作者：

Elias-Zuniga, Alex ^{[1
]}

机构：

[1] Tecnol Monterrey, Ctr Innovac Diseno & Tecnol, Monterrey 64849, NL, Mexico

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 246卷

关键词：

Jacobian elliptic functions; Cubic-quintic nonlinear terms; Damped Duffing equation; Electromagnetic pulses; EQUATION; BEAM;

D O I：

10.1016/j.amc.2014.07.110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive an analytical solution of the damped cubic-quintic Duffing oscillator which is based on a rational elliptic form used to obtain exact and approximate solutions of undamped oscillators. We examine different set of system parameter values to assess the accuracy of our derived solution. It is shown that theoretical predictions compares well with the numerical integration solutions obtained by a fourth order Runge-Kutta method. This demonstrates the applicability of rational elliptic forms to solve damped oscillators with higher nonlinear terms. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：474 / 481

页数：8

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