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...
| Author: | |
|---|---|
| Format: | Article |
| Status: | Accepted version |
| Publication date: | 2016 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10459.1/58393 |
| Online Access: | https://doi.org/10.1016/j.matcom.2016.04.002 http://hdl.handle.net/10459.1/58393 |
| Access Level: | Open access |
| Keyword: | Nilpotent center problem Analytic integrability Cherkas method Decomposition in prime ideals Takens normal form Matemàtica Mathematics |
| _version_ | 1878740077849346048 |
|---|---|
| author | Giné, Jaume |
| author_browse | Giné, Jaume |
| author_facet | Giné, Jaume |
| author_role | author |
| collection | Recercat. Dipósit de la Recerca de Catalunya |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_cd1d7e61ddb71e3fc5dfd6e4ff86f4b5 |
| institution | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| instname_str | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:recercat.cat:10459.1/58393 |
| publishDate | 2016 |
| publishDateSort | 2016 |
| publisher | Elsevier |
| publisherStr | Elsevier |
| reponame_str | Recercat. Dipósit de la Recerca de Catalunya |
| spelling | Center conditions for nilpotent cubic systems using Cherkas method Giné, Jaume Nilpotent center problem Analytic integrability Cherkas method Decomposition in prime ideals Takens normal form Matemàtica Mathematics 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 Elsevier https://doi.org/10.1016/j.matcom.2016.04.002 http://hdl.handle.net/10459.1/58393 |
| spellingShingle | Center conditions for nilpotent cubic systems using Cherkas method Giné, Jaume Nilpotent center problem Analytic integrability Cherkas method Decomposition in prime ideals Takens normal form Matemàtica Mathematics |
| status_str | acceptedVersion |
| title | Center conditions for nilpotent cubic systems using Cherkas method |
| title_full | Center conditions for nilpotent cubic systems using Cherkas method |
| title_fullStr | Center conditions for nilpotent cubic systems using Cherkas method |
| title_full_unstemmed | Center conditions for nilpotent cubic systems using Cherkas method |
| title_short | Center conditions for nilpotent cubic systems using Cherkas method |
| title_sort | Center conditions for nilpotent cubic systems using Cherkas method |
| topic | Nilpotent center problem Analytic integrability Cherkas method Decomposition in prime ideals Takens normal form Matemàtica Mathematics |
| topic_facet | Nilpotent center problem Analytic integrability Cherkas method Decomposition in prime ideals Takens normal form Matemàtica Mathematics |
| url | https://doi.org/10.1016/j.matcom.2016.04.002 http://hdl.handle.net/10459.1/58393 |