Convergence of normal form transformations: The role of symmetries
Mathematical Physics
2013-09-18 v1 math.MP
Abstract
We discuss the convergence problem for coordinate transformations which take a given vector field into Poincar\'e-Dulac normal form. We show that the presence of linear or nonlinear Lie point symmetries can guaranteee convergence of these normalizing transformations, in a number of scenarios. As an application, we consider a class of bifurcation problems.
Keywords
Cite
@article{arxiv.1309.4233,
title = {Convergence of normal form transformations: The role of symmetries},
author = {G. Cicogna and S. Walcher},
journal= {arXiv preprint arXiv:1309.4233},
year = {2013}
}
Comments
20 pages, no figures