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<p>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.</p>

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On Gauge Transforms of Autonomous Ordinary Differential Equations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月15日

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  • Giuseppe Gaeta,
  • Sebastian Walcher

摘要

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.