Center conditions for nilpotent cubic systems using the Cherkas method

Jaume Giné

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 129, issue C, 1-9

Abstract: In this study, we consider the center problem of a cubic polynomial differential system with a nilpotent linear part. The analysis is based on the application of the Cherkas method to the Takens normal form. The analysis requires many computations, which are verified by employing one algebraic manipulator and extensive use of the computer algebra system called Singular.

Keywords: Nilpotent center problem; Analytic integrability; Cherkas method; Decomposition in prime ideals; Takens normal form (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:129:y:2016:i:c:p:1-9

DOI: 10.1016/j.matcom.2016.04.002

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