On Gauge Transforms of Autonomous Ordinary Differential Equations
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.
Authors
- Sebastian Walcher (ORCID: https://orcid.org/0000-0003-4763-6869)
- Giuseppe Gaeta (ORCID: https://orcid.org/0000-0003-3310-3455)
Institutions
- University of Milan (IT)
- Istituto di Scienze Marine del Consiglio Nazionale delle Ricerche (IT)
- Istituto Nazionale di Fisica Nucleare, Sezione di Milano (IT)
- RWTH Aachen University (DE)
Publication Details
- Journal
- Qualitative Theory of Dynamical Systems
- Published
- 2025-11-15
- DOI
- https://doi.org/10.1007/s12346-025-01416-6
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Stanley Medical Research Institute
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Gruppo Nazionale per la Fisica Matematica