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?


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

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.