Center conditions for nilpotent cubic systems using Cherkas method

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2016
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Giné, JaumeGiné, Jaume - ORCID ID
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cc-by-nc-nd (c) Elsevier, 2016
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In this work we study the center problem of a cubic polynomial differential system with nilpotent linear part. The analysis is based on the application of the Cherkas method to the Takens normal form. The study needs many computations, which have been verified with the help of one algebraic manipulator and the extensive use of a computer algebra system as Singular.
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Mathematics and Computers in Simulation, 2016, vol. 129, p. 1-9