Center conditions for polynomial Liénard systems

In this paper we study the center problem for polynomial Liénard systems of degree n with damping of degree n. Computing the focal values we find the center conditions for such systems for n=5 and using modular arithmetics and Gröbner bases for n=6. We also give some center conditions for polynomial...

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Detalhes bibliográficos
Autor: Giné, Jaume
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2017
País:España
Recursos:Universitat de Lleida (UdL)
Repositorio:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/62957
Acesso em linha:https://doi.org/10.1007/s12346-016-0202-3
http://hdl.handle.net/10459.1/62957
Access Level:acceso abierto
Palavra-chave:Center problem
Analytic integrability
Polynomial Liénard differential systems
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spelling Center conditions for polynomial Liénard systemsGiné, JaumeCenter problemAnalytic integrabilityPolynomial Liénard differential systemsIn this paper we study the center problem for polynomial Liénard systems of degree n with damping of degree n. Computing the focal values we find the center conditions for such systems for n=5 and using modular arithmetics and Gröbner bases for n=6. We also give some center conditions for polynomial Liénard systems of degree n with damping of degree n.The first author is partially supported by a MINECO/ FEDER grant number MTM2014-53703-P and an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204.Springer International Publishing2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://doi.org/10.1007/s12346-016-0202-3http://hdl.handle.net/10459.1/62957reponame:Repositori Obert UdL instname:Universitat de Lleida (UdL)InglésMINECO/PN2013-2016/MTM2014-53703-PVersió postprint del document publicat a https://doi.org/10.1007/s12346-016-0202-3Qualitative Theory Of Dynamical Systems, 2017, vol. 16, p. 119-126(c) Springer International Publishing, 2017info:eu-repo/semantics/openAccessoai:repositori.udl.cat:10459.1/629572026-06-24T12:42:17Z
dc.title.none.fl_str_mv Center conditions for polynomial Liénard systems
title Center conditions for polynomial Liénard systems
spellingShingle Center conditions for polynomial Liénard systems
Giné, Jaume
Center problem
Analytic integrability
Polynomial Liénard differential systems
title_short Center conditions for polynomial Liénard systems
title_full Center conditions for polynomial Liénard systems
title_fullStr Center conditions for polynomial Liénard systems
title_full_unstemmed Center conditions for polynomial Liénard systems
title_sort Center conditions for polynomial Liénard systems
dc.creator.none.fl_str_mv Giné, Jaume
author Giné, Jaume
author_facet Giné, Jaume
author_role author
dc.subject.none.fl_str_mv Center problem
Analytic integrability
Polynomial Liénard differential systems
topic Center problem
Analytic integrability
Polynomial Liénard differential systems
description In this paper we study the center problem for polynomial Liénard systems of degree n with damping of degree n. Computing the focal values we find the center conditions for such systems for n=5 and using modular arithmetics and Gröbner bases for n=6. We also give some center conditions for polynomial Liénard systems of degree n with damping of degree n.
publishDate 2017
dc.date.none.fl_str_mv 2017
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/10.1007/s12346-016-0202-3
http://hdl.handle.net/10459.1/62957
url https://doi.org/10.1007/s12346-016-0202-3
http://hdl.handle.net/10459.1/62957
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv MINECO/PN2013-2016/MTM2014-53703-P
Versió postprint del document publicat a https://doi.org/10.1007/s12346-016-0202-3
Qualitative Theory Of Dynamical Systems, 2017, vol. 16, p. 119-126
dc.rights.none.fl_str_mv (c) Springer International Publishing, 2017
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Springer International Publishing, 2017
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer International Publishing
publisher.none.fl_str_mv Springer International Publishing
dc.source.none.fl_str_mv reponame:Repositori Obert UdL
instname:Universitat de Lleida (UdL)
instname_str Universitat de Lleida (UdL)
reponame_str Repositori Obert UdL
collection Repositori Obert UdL
repository.name.fl_str_mv
repository.mail.fl_str_mv
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