Center conditions for nilpotent cubic systems using the Cherkas method
Copyright policy )Center conditions for nilpotent cubic systems using the Cherkas method
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
- University of Lleida Spain
analytic integrability, Cherkas method, nilpotent center problem, Analytic integrability, Nilpotent center problem, decomposition in prime ideals, Numerical methods for initial value problems involving ordinary differential equations, Matemàtica, Mathematics, Decomposition in prime ideals, Takens normal form
analytic integrability, Cherkas method, nilpotent center problem, Analytic integrability, Nilpotent center problem, decomposition in prime ideals, Numerical methods for initial value problems involving ordinary differential equations, Matemàtica, Mathematics, Decomposition in prime ideals, Takens normal form
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