Some remarks on global analytic planar vector fields possessing an invariant analytic set
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Date
2021-02-01
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Abstract
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.
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Dynamical Systems an International Journal, 2021, vol. 36, núm. 2, p. 204-211