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arXiv · 2506.07189

On gauge transforms of autonomous ordinary differential equations

Giuseppe Gaeta·Sebastian Walcher
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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.

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Giuseppe Gaeta, Sebastian Walcher. 2025-06-08. On gauge transforms of autonomous ordinary differential equations. https://doi.org/10.1007/s12346-025-01416-6

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