Iterations and groups of formal transformations
Dynamical Systems
2020-08-20 v1 Group Theory
Chaotic Dynamics
Abstract
In this paper, we consider the problem of formal iteration. We construct an area preserving mapping which does not have any square root. This leads to a counterexample to Moser's existence theorem for an interpolation problem. We give examples of formal transformation groups such that the iteration problem has a solution for every element of the groups.
Cite
@article{arxiv.2008.08429,
title = {Iterations and groups of formal transformations},
author = {O. V. Kaptsov},
journal= {arXiv preprint arXiv:2008.08429},
year = {2020}
}
Comments
6 pages