On the Analytic Solvability of the Problem of Distinguishing between Center and Focus
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Nonlinear analytic differential equations, Tome 254 (2006), pp. 11-100.

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The analytic solvability of the problem of distinguishing between a center and a focus is proved in each of semialgebraic subsets whose union is the entire set of monodromic germs.
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N. B. Medvedeva. On the Analytic Solvability of the Problem of Distinguishing between Center and Focus. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Nonlinear analytic differential equations, Tome 254 (2006), pp. 11-100. http://geodesic.mathdoc.fr/item/TM_2006_254_a1/

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