Center conditions for nilpotent cubic systems using 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 manipula...
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| Tipo de documento: | Artigo |
| Estado: | Accepted version |
| Data de publicação: | 2016 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositório: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10459.1/58393 |
| Acesso em linha: | https://doi.org/10.1016/j.matcom.2016.04.002 http://hdl.handle.net/10459.1/58393 |
| Nível de acesso: | Acesso aberto |
| Palavra-chave: | Nilpotent center problem Analytic integrability Cherkas method Decomposition in prime ideals Takens normal form Matemàtica Mathematics |
| Resumo: | 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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