Analytic nilpotent centers as limits of nondegenerate centers revisited
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We prove that all the nilpotent centers of planar analytic differential systems are limit of centers with purely imaginary eigenvalues, and consequently the Poincaré--Liapunov method to detect centers with purely imaginary eigenvalues can be used to detect nilpotent centers.
Is part ofJournal of Mathematical Analysis and Applications, 2016, vol. 441, núm. 2, p. 893-899
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