As part of my research I wish to read a full proof of Lyapunov's classic theorem on dynamical systems that for an analytic planar vector field where all Lyapunov/focal values are zero, the local phase portrait is a center. I have not found anything matching this even after extensive search efforts so I turn to the community for salvation. Thanks all
2026-03-27 08:58:58.1774601938
Recommendation of a good source on Lyapunov theorem in dynamical systems
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I do not know how easy to find these books, but all (even excessive) details can be found in one of the following books by Andronov et al:
(I think this is the first one, but not 100% sure)