On exponentially accurate approximation of a near the identity map by an autonomous flow
Dynamical Systems
2024-11-06 v1
Abstract
This paper contains a proof of a refined version of Neishtadt's theorem which states that an analytic near-identity map can be approximated by the time-one map of an autonomous flow with exponential accuracy. We provide explicit expressions for the vector fields and give explicit bounds for the error terms.
Keywords
Cite
@article{arxiv.2411.03188,
title = {On exponentially accurate approximation of a near the identity map by an autonomous flow},
author = {V. Gelfreich and A. Vieiro},
journal= {arXiv preprint arXiv:2411.03188},
year = {2024}
}
Comments
6 p