Article ID Journal Published Year Pages File Type
4614291 Journal of Mathematical Analysis and Applications 2016 7 Pages PDF
Abstract

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.

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Related Topics
Physical Sciences and Engineering Mathematics Analysis
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