On the Generalized Normal Form of ODE Systems

• Bruno, Alexander D. ^[1]
  1. [1] Keldysh Institute of Applied Mathematics of Russian Academy of Sciences
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 1, 2022
• Idioma: inglés
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• Resumen

  • Firstly I remind the normal form of an analytic autonomous ODE system near its stationary point and some its properties. Then I propose a generalization, which works near infinities in some coordinates and can be reduced to a system of lower order without linear part. A very simple example is considered.