2 papers
math.DS2025
On gauge transforms of autonomous ordinary differential equations
Giuseppe Gaeta, Sebastian Walcher
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 auto…
math-ph2025
Floquet-like theory and gauge transformations for general smooth dynamical systems
Giuseppe Gaeta, Sebastian Walcher
The classical Floquet theory allows to map a time-periodic system of linear differential equations into an autonomous one. By looking at it in a geometrical way, we extend the theo…