On gauge transforms of autonomous ordinary differential equations
Dynamical Systems
2025-12-10 v2
Abstract
The notion of gauge transform has its origin in Physics (Field Theory). In the present note we discuss -- from a purely mathematical perspective -- special gauge transforms of autonomous first order ODE's and their special properties. Particular attention is given to the problem of identifying those nonautonomous ODE's which are gauge transforms of autonomous systems.
Cite
@article{arxiv.2506.07189,
title = {On gauge transforms of autonomous ordinary differential equations},
author = {Giuseppe Gaeta and Sebastian Walcher},
journal= {arXiv preprint arXiv:2506.07189},
year = {2025}
}
Comments
15 pages. Small changes in text due to reviewer reports