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.
On Gauge Transforms of Autonomous Ordinary Differential Equations / G. Gaeta, S. Walcher. - In: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS. - ISSN 1575-5460. - 24:6(2025 Nov 15), pp. 255.1-255.15. [10.1007/s12346-025-01416-6]
On Gauge Transforms of Autonomous Ordinary Differential Equations
G. GaetaCo-primo
;
2025
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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