Universitat de Lleida
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.
The author is partially supported by a MINECO/FEDER grant number MTM2014-53703-P and an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204
English
Nilpotent center problem; Analytic integrability; Cherkas method; Decomposition in prime ideals; Takens normal form; Matemàtica; Mathematics
Elsevier
info:eu-repo/grantAgreement/MINECO//MTM2014-53703-P/ES/METODOS CUALITATIVOS EN SISTEMAS DIFERENCIALES CONTINUOS/
Versió postprint del document publicat a: https://doi.org/10.1016/j.matcom.2016.04.002
Mathematics and Computers in Simulation, 2016, vol. 129, p. 1-9
cc-by-nc-nd (c) Elsevier, 2016
http://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca
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