Isochronicity conditions for some real polynomial systems
Classical Analysis and ODEs
2008-07-02 v1
Abstract
This paper focuses on isochronicity of linear center perturbed by a polynomial. Isochronicity of a linear center perturbed by a degree four and degree five polynomials is studied, several new isochronous centers are found. For homogeneous isochronous perturbations, a first integral and a linearizing change of coordinates are presented. Moreover, a family of Abel polynomial systems is also considered. By investigations until degree 10 we prove the existence of a unique isochronous center. These results are established using a computer implementation based on Urabe theorem.
Cite
@article{arxiv.0807.0131,
title = {Isochronicity conditions for some real polynomial systems},
author = {Islam Boussaada},
journal= {arXiv preprint arXiv:0807.0131},
year = {2008}
}
Comments
26 pages