Some remarks on global analytic planar vector fields possessing an invariant analytic set
We study the problem of determining the canonical form that a planar analytic vector field in all the real plane can have in order to possess a given invariant analytic set. We determine some conditions that guarantee that the only solution to this inverse problem is the trivial one.
Journal or Serie
Dynamical Systems an International Journal, 2021, vol. 36, núm. 2, p. 204-211