Formal conjugacy and asymptotic differential algebra
Dynamical Systems
2025-09-11 v4 Logic
Rings and Algebras
Abstract
We study conjugacy of formal derivations on fields of generalised power series in characteristic 0. Casting the problem of Poincar\'e resonance in terms of asymptotic differential algebra, we give conditions for conjugacy of parabolic flat log-exp transseries, flat grid-based transseries, logarithmic transseries, power series with exponents and coefficients in an ordered field, and formal Puiseux series.
Keywords
Cite
@article{arxiv.2409.17036,
title = {Formal conjugacy and asymptotic differential algebra},
author = {Vincent Bagayoko},
journal= {arXiv preprint arXiv:2409.17036},
year = {2025}
}
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17 pages