Abelian integrals and non-generic turning points

In this paper we initiate the study of the Chebyshev property of Abelian integrals generated by a non-generic turning point in planar slow-fast systems. Such Abelian integrals generalize the Abelian integrals produced by a slow-fast Hopf point (or generic turning point), introduced in Dumortier et a...

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Autores: Huzak, Renato, Rojas, David|||0000-0001-7247-4705
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:259951
Acceso en línea:https://ddd.uab.cat/record/259951
https://dx.doi.org/urn:doi:10.1007/s12346-022-00609-7
Access Level:acceso abierto
Palabra clave:Abelian integrals
Chebyshev systems
Planar turning points
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spelling Abelian integrals and non-generic turning pointsHuzak, RenatoRojas, David|||0000-0001-7247-4705Abelian integralsChebyshev systemsPlanar turning pointsIn this paper we initiate the study of the Chebyshev property of Abelian integrals generated by a non-generic turning point in planar slow-fast systems. Such Abelian integrals generalize the Abelian integrals produced by a slow-fast Hopf point (or generic turning point), introduced in Dumortier et al. (Discrete Contin Dyn Syst Ser S 2(4):723-781, 2009), and play an important role in studying the number of limit cycles born from the non-generic turning point. 22022-01-0120222022-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/259951https://dx.doi.org/urn:doi:10.1007/s12346-022-00609-7reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2020-118281GB-C31Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2599512026-06-06T12:50:31Z
dc.title.none.fl_str_mv Abelian integrals and non-generic turning points
title Abelian integrals and non-generic turning points
spellingShingle Abelian integrals and non-generic turning points
Huzak, Renato
Abelian integrals
Chebyshev systems
Planar turning points
title_short Abelian integrals and non-generic turning points
title_full Abelian integrals and non-generic turning points
title_fullStr Abelian integrals and non-generic turning points
title_full_unstemmed Abelian integrals and non-generic turning points
title_sort Abelian integrals and non-generic turning points
dc.creator.none.fl_str_mv Huzak, Renato
Rojas, David|||0000-0001-7247-4705
author Huzak, Renato
author_facet Huzak, Renato
Rojas, David|||0000-0001-7247-4705
author_role author
author2 Rojas, David|||0000-0001-7247-4705
author2_role author
dc.subject.none.fl_str_mv Abelian integrals
Chebyshev systems
Planar turning points
topic Abelian integrals
Chebyshev systems
Planar turning points
description In this paper we initiate the study of the Chebyshev property of Abelian integrals generated by a non-generic turning point in planar slow-fast systems. Such Abelian integrals generalize the Abelian integrals produced by a slow-fast Hopf point (or generic turning point), introduced in Dumortier et al. (Discrete Contin Dyn Syst Ser S 2(4):723-781, 2009), and play an important role in studying the number of limit cycles born from the non-generic turning point.
publishDate 2022
dc.date.none.fl_str_mv 2
2022-01-01
2022
2022-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/259951
https://dx.doi.org/urn:doi:10.1007/s12346-022-00609-7
url https://ddd.uab.cat/record/259951
https://dx.doi.org/urn:doi:10.1007/s12346-022-00609-7
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2020-118281GB-C31
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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