The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6

In this paper we study the topological phase portraits of polynomial differential systems with a uniform isochronous center, whose nonlinear parts are homogeneous polynomials of degree 6. We obtain all the distinct topological phase portraits in the Poincaré disc. For each phase portrait, we give a...

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Authors: Dong, Guangfeng, Llibre, Jaume|||0000-0002-9511-5999
Format: article
Publication Date:2024
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:307748
Online Access:https://ddd.uab.cat/record/307748
https://dx.doi.org/urn:doi:10.1007/s10883-024-09703-2
Access Level:Open access
Keyword:Uniform isochronous center
Polynomial vector field
Phase portrait
Separatrix configuration
Periodic orbit
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spelling The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6Dong, GuangfengLlibre, Jaume|||0000-0002-9511-5999Uniform isochronous centerPolynomial vector fieldPhase portraitSeparatrix configurationPeriodic orbitIn this paper we study the topological phase portraits of polynomial differential systems with a uniform isochronous center, whose nonlinear parts are homogeneous polynomials of degree 6. We obtain all the distinct topological phase portraits in the Poincaré disc. For each phase portrait, we give a precise system to realize it. 22024-01-0120242024-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/307748https://dx.doi.org/urn:doi:10.1007/s10883-024-09703-2reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2019-104658GB-I00European Commission https://doi.org/10.13039/501100000780 777911Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2021/SGR-00113open 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:3077482026-06-06T12:50:31Z
dc.title.none.fl_str_mv The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6
title The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6
spellingShingle The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6
Dong, Guangfeng
Uniform isochronous center
Polynomial vector field
Phase portrait
Separatrix configuration
Periodic orbit
title_short The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6
title_full The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6
title_fullStr The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6
title_full_unstemmed The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6
title_sort The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6
dc.creator.none.fl_str_mv Dong, Guangfeng
Llibre, Jaume|||0000-0002-9511-5999
author Dong, Guangfeng
author_facet Dong, Guangfeng
Llibre, Jaume|||0000-0002-9511-5999
author_role author
author2 Llibre, Jaume|||0000-0002-9511-5999
author2_role author
dc.subject.none.fl_str_mv Uniform isochronous center
Polynomial vector field
Phase portrait
Separatrix configuration
Periodic orbit
topic Uniform isochronous center
Polynomial vector field
Phase portrait
Separatrix configuration
Periodic orbit
description In this paper we study the topological phase portraits of polynomial differential systems with a uniform isochronous center, whose nonlinear parts are homogeneous polynomials of degree 6. We obtain all the distinct topological phase portraits in the Poincaré disc. For each phase portrait, we give a precise system to realize it.
publishDate 2024
dc.date.none.fl_str_mv 2
2024-01-01
2024
2024-01-01
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/307748
https://dx.doi.org/urn:doi:10.1007/s10883-024-09703-2
url https://ddd.uab.cat/record/307748
https://dx.doi.org/urn:doi:10.1007/s10883-024-09703-2
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 PID2019-104658GB-I00
European Commission https://doi.org/10.13039/501100000780 777911
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2021/SGR-00113
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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