Centers: their integrability and relations with the divergence

This is a brief survey on the centers of the analytic differential systems in R^2. First we consider the kind of integrability of the different types of centers, and after we analyze the focus--center problem, i.e. how to distinguish a center from a focus. This is a difficult problem which is not co...

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Author: Llibre, Jaume|||0000-0002-9511-5999
Format: article
Publication Date:2016
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:169477
Online Access:https://ddd.uab.cat/record/169477
https://dx.doi.org/urn:doi:10.21042/AMNS.2016.1.00007
Access Level:Open access
Keyword:Center problem
Divergence
Integrability
Poincaré-Liapunov constants
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spelling Centers: their integrability and relations with the divergenceLlibre, Jaume|||0000-0002-9511-5999Center problemDivergenceIntegrabilityPoincaré-Liapunov constantsThis is a brief survey on the centers of the analytic differential systems in R^2. First we consider the kind of integrability of the different types of centers, and after we analyze the focus--center problem, i.e. how to distinguish a center from a focus. This is a difficult problem which is not completely solved. We shall present some recent results using the divergence of the differential system. 22016-01-0120162016-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/169477https://dx.doi.org/urn:doi:10.21042/AMNS.2016.1.00007reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568European Commission https://doi.org/10.13039/501100000780 316338European Commission https://doi.org/10.13039/501100000780 316339open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1694772026-06-06T12:50:31Z
dc.title.none.fl_str_mv Centers: their integrability and relations with the divergence
title Centers: their integrability and relations with the divergence
spellingShingle Centers: their integrability and relations with the divergence
Llibre, Jaume|||0000-0002-9511-5999
Center problem
Divergence
Integrability
Poincaré-Liapunov constants
title_short Centers: their integrability and relations with the divergence
title_full Centers: their integrability and relations with the divergence
title_fullStr Centers: their integrability and relations with the divergence
title_full_unstemmed Centers: their integrability and relations with the divergence
title_sort Centers: their integrability and relations with the divergence
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
author_role author
dc.subject.none.fl_str_mv Center problem
Divergence
Integrability
Poincaré-Liapunov constants
topic Center problem
Divergence
Integrability
Poincaré-Liapunov constants
description This is a brief survey on the centers of the analytic differential systems in R^2. First we consider the kind of integrability of the different types of centers, and after we analyze the focus--center problem, i.e. how to distinguish a center from a focus. This is a difficult problem which is not completely solved. We shall present some recent results using the divergence of the differential system.
publishDate 2016
dc.date.none.fl_str_mv 2
2016-01-01
2016
2016-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/169477
https://dx.doi.org/urn:doi:10.21042/AMNS.2016.1.00007
url https://ddd.uab.cat/record/169477
https://dx.doi.org/urn:doi:10.21042/AMNS.2016.1.00007
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568
European Commission https://doi.org/10.13039/501100000780 316338
European Commission https://doi.org/10.13039/501100000780 316339
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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https://rightsstatements.org/vocab/InC/1.0/
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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