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Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2016

Analytic nilpotent centers as limits of nondegenerate centers revisited

Résumé

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.

Dates et versions

hal-01309525 , version 1 (29-04-2016)

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Isaac A. Garcia, Hector Giacomini, Jaume Giné, Jaume Llibre. Analytic nilpotent centers as limits of nondegenerate centers revisited. Journal of Mathematical Analysis and Applications, 2016, 441, pp.893-899. ⟨10.1016/j.jmaa.2016.04.046⟩. ⟨hal-01309525⟩
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