Integrability conditions of a resonant saddle in Liénard-like complex systems

We consider a complex differential system with a resonant saddle that remind the classical Liénard systems in the real plane. For such systems we determine the conditions of analytic integrability of the resonant saddle.

Bibliographic Details
Authors: Giné, Jaume, Valls, Claudia
Format: article
Status:Versión aceptada para publicación
Publication Date:2016
Country:España
Institution:Universitat de Lleida (UdL)
Repository:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/58373
Online Access:https://doi.org/10.1016/j.chaos.2015.11.026
http://hdl.handle.net/10459.1/58373
Access Level:Open access
Keyword:Integrable saddles
First integrals
Analytic integrability
Matemàtica
Mathematics
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spelling Integrability conditions of a resonant saddle in Liénard-like complex systemsGiné, JaumeValls, ClaudiaIntegrable saddlesFirst integralsAnalytic integrabilityMatemàticaMathematicsWe consider a complex differential system with a resonant saddle that remind the classical Liénard systems in the real plane. For such systems we determine the conditions of analytic integrability of the resonant saddle.The first author is partially supported by a MINECO/FEDER grant number MTM2014-53703-P and by an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204. The second author is supported by Portuguese national funds through FCT - Fundación para a Ciéncia e a Tecnologia: project PEst-OE/EEI/LA0009/2013 (CAMGSD)Elsevier2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://doi.org/10.1016/j.chaos.2015.11.026http://hdl.handle.net/10459.1/58373reponame:Repositori Obert UdL instname:Universitat de Lleida (UdL)InglésMINECO/PN2013-2016/MTM2014-53703-PVersió postprint del document publicat a: https://doi.org/10.1016/j.chaos.2015.11.026Chaos Solitons & Fractals, 2016, vol. 82, p. 139-141cc-by-nc-nd (c) Elsevier, 2016info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.caoai:repositori.udl.cat:10459.1/583732026-06-24T12:42:17Z
dc.title.none.fl_str_mv Integrability conditions of a resonant saddle in Liénard-like complex systems
title Integrability conditions of a resonant saddle in Liénard-like complex systems
spellingShingle Integrability conditions of a resonant saddle in Liénard-like complex systems
Giné, Jaume
Integrable saddles
First integrals
Analytic integrability
Matemàtica
Mathematics
title_short Integrability conditions of a resonant saddle in Liénard-like complex systems
title_full Integrability conditions of a resonant saddle in Liénard-like complex systems
title_fullStr Integrability conditions of a resonant saddle in Liénard-like complex systems
title_full_unstemmed Integrability conditions of a resonant saddle in Liénard-like complex systems
title_sort Integrability conditions of a resonant saddle in Liénard-like complex systems
dc.creator.none.fl_str_mv Giné, Jaume
Valls, Claudia
author Giné, Jaume
author_facet Giné, Jaume
Valls, Claudia
author_role author
author2 Valls, Claudia
author2_role author
dc.subject.none.fl_str_mv Integrable saddles
First integrals
Analytic integrability
Matemàtica
Mathematics
topic Integrable saddles
First integrals
Analytic integrability
Matemàtica
Mathematics
description We consider a complex differential system with a resonant saddle that remind the classical Liénard systems in the real plane. For such systems we determine the conditions of analytic integrability of the resonant saddle.
publishDate 2016
dc.date.none.fl_str_mv 2016
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.chaos.2015.11.026
http://hdl.handle.net/10459.1/58373
url https://doi.org/10.1016/j.chaos.2015.11.026
http://hdl.handle.net/10459.1/58373
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/10.1016/j.chaos.2015.11.026
Chaos Solitons & Fractals, 2016, vol. 82, p. 139-141
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Elsevier, 2016
info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca
rights_invalid_str_mv cc-by-nc-nd (c) Elsevier, 2016
https://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: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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