Exponential map of germs of vector fields
Dynamical Systems
2025-05-06 v1 Group Theory
Chaotic Dynamics
Abstract
In this paper we introduce an exponential map of the algebra of germs of vector fields into the group of germs of diffeomorphisms at zero. It is shown that this mapping is not a bijection. A brief review of the key results of the analytic iteration problem is given.
Cite
@article{arxiv.2505.02117,
title = {Exponential map of germs of vector fields},
author = {Oleg Kaptsov},
journal= {arXiv preprint arXiv:2505.02117},
year = {2025}
}