Comparison of alternative improved perturbative methods for nonlinear oscillations
数学物理
2009-11-10 v1 math.MP
摘要
We discuss and compare two alternative perturbation approaches for the calculation of the period of nonlinear systems based on the Lindstedt--Poincar\'{e} technique. As illustrative examples we choose one--dimensional anharmonic oscillators and the Van der Pol equation. Our results show that each approach is better for just one type of model considered here.
引用
@article{arxiv.math-ph/0412060,
title = {Comparison of alternative improved perturbative methods for nonlinear oscillations},
author = {Paolo Amore and Francisco Fernandez and Alfredo Raya},
journal= {arXiv preprint arXiv:math-ph/0412060},
year = {2009}
}
备注
15 pages, 5 figures