Alternative perturbation approaches in classical mechanics

被引：38

作者：

Amore, P

Raya, A

Fernández, FM

机构：

[1] Univ Colima, Fac Ciencias, Colima, Colima, Mexico

[2] UNLP, CONICET, INIFTA, RA-1900 La Plata, Argentina

来源：

EUROPEAN JOURNAL OF PHYSICS | 2005年 / 26卷 / 06期

关键词：

D O I：

10.1088/0143-0807/26/6/013

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

We discuss two alternative methods, based on the Lindstedt-Poincare technique, for the removal of secular terms from the equations of perturbation theory. We calculate the period of an anharmonic oscillator by means of both approaches and show that one of them is more accurate for all values of the coupling constant. We believe that present discussion and comparison may be a suitable exercise for teaching perturbation theory in advanced undergraduate courses on classical mechanics.

引用

页码：1057 / 1063

页数：7

共 6 条

[1] High order analysis of nonlinear periodic differential equations [J].