Symmetries of dynamical systems and convergent normal forms
Mathematical Physics
2013-09-10 v1 math.MP
Abstract
It is shown that, under suitable conditions, involving in particular the existence of analytic constants of motion, the presence of Lie point symmetries can ensure the convergence of the transformation taking a vector field (or dynamical system) into normal form
Cite
@article{arxiv.1309.2076,
title = {Symmetries of dynamical systems and convergent normal forms},
author = {G. Cicogna},
journal= {arXiv preprint arXiv:1309.2076},
year = {2013}
}
Comments
7 pages, no figures