The homotopy analysis method and the Lienard equation
Pattern Formation and Solitons
2008-05-29 v1 Classical Analysis and ODEs
Dynamical Systems
Abstract
In this work, Lienard equations are considered. The limit cycles of these systems are studied by applying the homotopy analysis method. The amplitude and frequency obtained with this methodology are in good agreement with those calculated by computational methods. This puts in evidence that the homotopy analysis method is an useful tool to solve nonlinear differential equations.
Cite
@article{arxiv.0805.3916,
title = {The homotopy analysis method and the Lienard equation},
author = {Saied Abbasbandy and Jose-Luis Lopez and Ricardo Lopez-Ruiz},
journal= {arXiv preprint arXiv:0805.3916},
year = {2008}
}
Comments
16 pages, 9 figures, 1 table