Abstract
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.
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Bruno, A.D. On the Generalized Normal Form of ODE Systems. Qual. Theory Dyn. Syst. 21, 1 (2022). https://doi.org/10.1007/s12346-021-00531-4
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DOI: https://doi.org/10.1007/s12346-021-00531-4