A remark on first integrals of vector fields
Classical Analysis and ODEs
2021-10-26 v1 Dynamical Systems
Abstract
We provide examples of vector fields on admitting a formal first integral but no holomorphic first integral. These examples are related to a question raised by D. Cerveau and motivated by the celebrated theorems of Malgrange and Mattei-Moussu.
Cite
@article{arxiv.2110.13072,
title = {A remark on first integrals of vector fields},
author = {André Belotto da Silva and Martin Klimes and Julio C. Rebelo and Helena Reis},
journal= {arXiv preprint arXiv:2110.13072},
year = {2021}
}