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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Detalhes bibliográficos
Autor: Giné, Jaume
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2016
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio: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
Access Level:acceso abierto
Palavra-chave:Nilpotent center problem
Analytic integrability
Cherkas method
Decomposition in prime ideals
Takens normal form
Matemàtica
Mathematics
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spelling Center conditions for nilpotent cubic systems using Cherkas methodGiné, JaumeNilpotent center problemAnalytic integrabilityCherkas methodDecomposition in prime idealsTakens normal formMatemàticaMathematicsIn 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 1204Elsevier2016201820162016info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://doi.org/10.1016/j.matcom.2016.04.002http://hdl.handle.net/10459.1/58393http://hdl.handle.net/10459.1/58393reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/grantAgreement/MINECO//MTM2014-53703-PVersió postprint del document publicat a: https://doi.org/10.1016/j.matcom.2016.04.002Mathematics and Computers in Simulation, 2016, vol. 129, p. 1-9cc-by-nc-nd (c) Elsevier, 2016info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.caoai:recercat.cat:10459.1/583932026-05-29T05:05:01Z
dc.title.none.fl_str_mv Center conditions for nilpotent cubic systems using Cherkas method
title Center conditions for nilpotent cubic systems using Cherkas method
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
title_short 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_sort Center conditions for nilpotent cubic systems using Cherkas method
dc.creator.none.fl_str_mv Giné, Jaume
author Giné, Jaume
author_facet Giné, Jaume
author_role author
dc.subject.none.fl_str_mv Nilpotent center problem
Analytic integrability
Cherkas method
Decomposition in prime ideals
Takens normal form
Matemàtica
Mathematics
topic Nilpotent center problem
Analytic integrability
Cherkas method
Decomposition in prime ideals
Takens normal form
Matemàtica
Mathematics
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.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016
2016
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1016/j.matcom.2016.04.002
http://hdl.handle.net/10459.1/58393
http://hdl.handle.net/10459.1/58393
url https://doi.org/10.1016/j.matcom.2016.04.002
http://hdl.handle.net/10459.1/58393
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MINECO//MTM2014-53703-P
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
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Elsevier, 2016
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca
rights_invalid_str_mv cc-by-nc-nd (c) Elsevier, 2016
http://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Recercat. Dipósit de la Recerca de Catalunya
instname: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)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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