Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three

We classify all global phase portraits in the Poincaré disc of the cubic polynomial Kolmogorov differential systems having a well-defined rational first integral of degree three at the origin. For such differential systems there are exactly two different global phase portraits up to a reversal of th...

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Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Tian, Renhao|||0009-0006-7143-2910
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:313606
Acceso en línea:https://ddd.uab.cat/record/313606
https://dx.doi.org/urn:doi:10.1063/5.0220041
Access Level:acceso abierto
Palabra clave:Kolmogorov differential system
Rational first integral
Phase portrait
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spelling Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree threeLlibre, Jaume|||0000-0002-9511-5999Tian, Renhao|||0009-0006-7143-2910Kolmogorov differential systemRational first integralPhase portraitWe classify all global phase portraits in the Poincaré disc of the cubic polynomial Kolmogorov differential systems having a well-defined rational first integral of degree three at the origin. For such differential systems there are exactly two different global phase portraits up to a reversal of the sense of their orbits. 22025-01-0120252025-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/313606https://dx.doi.org/urn:doi:10.1063/5.0220041reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2022-136613NB-I00Agència 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:3136062026-06-06T12:50:31Z
dc.title.none.fl_str_mv Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three
title Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three
spellingShingle Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three
Llibre, Jaume|||0000-0002-9511-5999
Kolmogorov differential system
Rational first integral
Phase portrait
title_short Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three
title_full Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three
title_fullStr Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three
title_full_unstemmed Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three
title_sort Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Tian, Renhao|||0009-0006-7143-2910
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Tian, Renhao|||0009-0006-7143-2910
author_role author
author2 Tian, Renhao|||0009-0006-7143-2910
author2_role author
dc.subject.none.fl_str_mv Kolmogorov differential system
Rational first integral
Phase portrait
topic Kolmogorov differential system
Rational first integral
Phase portrait
description We classify all global phase portraits in the Poincaré disc of the cubic polynomial Kolmogorov differential systems having a well-defined rational first integral of degree three at the origin. For such differential systems there are exactly two different global phase portraits up to a reversal of the sense of their orbits.
publishDate 2025
dc.date.none.fl_str_mv 2
2025-01-01
2025
2025-01-01
dc.type.none.fl_str_mv Article
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AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
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https://dx.doi.org/urn:doi:10.1063/5.0220041
url https://ddd.uab.cat/record/313606
https://dx.doi.org/urn:doi:10.1063/5.0220041
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 PID2022-136613NB-I00
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
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eu_rights_str_mv openAccess
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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
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