Phase portraits of the Higgins-Selkov system

In this paper we study the dynamics of the Higgins-Selkov system x˙=1-xyγ,y˙=αy(xyγ-1-1), where α is a real parameter and γ > 1 is an integer. We classify the phase portraits of this system for γ = 3,4,5,6, in the Poincaré disc for all the values of the parameter α. Moreover, we determine in func...

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Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Mousavi, Marzieh
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:237528
Acceso en línea:https://ddd.uab.cat/record/237528
https://dx.doi.org/urn:doi:10.3934/dcdsb.2021039
Access Level:acceso abierto
Palabra clave:Higgins-Selkov system
Limit cycle
Phase portrait
Poincaré compactification
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spelling Phase portraits of the Higgins-Selkov systemLlibre, Jaume|||0000-0002-9511-5999Mousavi, MarziehHiggins-Selkov systemLimit cyclePhase portraitPoincaré compactificationIn this paper we study the dynamics of the Higgins-Selkov system x˙=1-xyγ,y˙=αy(xyγ-1-1), where α is a real parameter and γ > 1 is an integer. We classify the phase portraits of this system for γ = 3,4,5,6, in the Poincaré disc for all the values of the parameter α. Moreover, we determine in function of the parameter α the regions of the phase space with biological meaning. 22021-01-0120212021-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/237528https://dx.doi.org/urn:doi:10.3934/dcdsb.2021039reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617European Commission https://doi.org/10.13039/501100000780 777911open 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:2375282026-06-06T12:50:31Z
dc.title.none.fl_str_mv Phase portraits of the Higgins-Selkov system
title Phase portraits of the Higgins-Selkov system
spellingShingle Phase portraits of the Higgins-Selkov system
Llibre, Jaume|||0000-0002-9511-5999
Higgins-Selkov system
Limit cycle
Phase portrait
Poincaré compactification
title_short Phase portraits of the Higgins-Selkov system
title_full Phase portraits of the Higgins-Selkov system
title_fullStr Phase portraits of the Higgins-Selkov system
title_full_unstemmed Phase portraits of the Higgins-Selkov system
title_sort Phase portraits of the Higgins-Selkov system
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Mousavi, Marzieh
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Mousavi, Marzieh
author_role author
author2 Mousavi, Marzieh
author2_role author
dc.subject.none.fl_str_mv Higgins-Selkov system
Limit cycle
Phase portrait
Poincaré compactification
topic Higgins-Selkov system
Limit cycle
Phase portrait
Poincaré compactification
description In this paper we study the dynamics of the Higgins-Selkov system x˙=1-xyγ,y˙=αy(xyγ-1-1), where α is a real parameter and γ > 1 is an integer. We classify the phase portraits of this system for γ = 3,4,5,6, in the Poincaré disc for all the values of the parameter α. Moreover, we determine in function of the parameter α the regions of the phase space with biological meaning.
publishDate 2021
dc.date.none.fl_str_mv 2
2021-01-01
2021
2021-01-01
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/237528
https://dx.doi.org/urn:doi:10.3934/dcdsb.2021039
url https://ddd.uab.cat/record/237528
https://dx.doi.org/urn:doi:10.3934/dcdsb.2021039
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 MTM2016-77278-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
European Commission https://doi.org/10.13039/501100000780 777911
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
http://purl.org/coar/access_right/c_abf2
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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