On Gauge Transforms of Autonomous Ordinary Differential Equations

• Giuseppe Gaeta ^[1] ; Sebastian Walcher ^[2]
  1. [1] University of Milan

     University of Milan

     Milán, Italia

     
  2. [2] Rheinisch-Westfälische Technische Hochschule Aachen University

     Rheinisch-Westfälische Technische Hochschule Aachen University

     Städteregion Aachen, Alemania

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 6, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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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