On the representation of maps by Lie transforms
Dynamical Systems
2013-04-01 v2
Abstract
The problem of representing a class of maps in a form suited for application of normal form methods is revisited. It is shown that using the methods of Lie series and of Lie transform a normal form algorithm is constructed in a straightforward manner. The examples of the Scrh\"oder--Siegel map and of the Chirikov standard map are included, with extension to arbitrary dimension.
Cite
@article{arxiv.1211.5674,
title = {On the representation of maps by Lie transforms},
author = {Antonio Giorgilli},
journal= {arXiv preprint arXiv:1211.5674},
year = {2013}
}