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Given an autonomous dynamical system, we could find its rest points and then try to understand the grems of the vector field on the neighborhoods of the rest points. In particular, there is the famous Poincare-Dulac theorem.

My question is:

Is there a parallel theory established for non-autonomous systems? What are the best result known?

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closed as too broad by Loïc Teyssier, Stefan Kohl, Franz Lemmermeyer, András Bátkai, Wolfgang Oct 4 '16 at 20:24

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