Structure and convergence of Poincare-like normal forms
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Abstract
The general term of the Poincare normalizing series is explicitly constructed for non-resonant systems of ODE's in a large class of equations. In the resonant case, a non-local transformation is found, which exactly linearizes the ODE's and whose series expansion always converges in a finite domain. Examples are treated.
Cite
@article{arxiv.chao-dyn/9706003,
title = {Structure and convergence of Poincare-like normal forms},
author = {S. Louies and L. Brenig},
journal= {arXiv preprint arXiv:chao-dyn/9706003},
year = {2009}
}
Comments
11 pages, no figures, latex. To be published in Phys. Lett. A