The note discusses gauge transforms of ordinary differential equations, suggesting special properties in nonautonomous systems.
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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Gaeta et al. (2025) studied this question.
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