Liouvillian and analytic first integrals for the Brusselator system

We characterize the Liouvillian and analytic first integrals for the polynomial differential systems of the form x' = a - (b + 1)x + x2y, y' = bx - x2y, with a, b ∈ R, called the Brusselator differential systems.

Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150513
Acceso en línea:https://ddd.uab.cat/record/150513
https://dx.doi.org/urn:doi:10.1142/S1402925112500167
Access Level:acceso abierto
Palabra clave:Darboux polynomial
Exponential factor
Liouvillian first integral
Analytic first integral
Brusselator differential systems
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spelling Liouvillian and analytic first integrals for the Brusselator systemLlibre, Jaume|||0000-0002-9511-5999Valls, Clàudia|||0000-0001-8279-1229Darboux polynomialExponential factorLiouvillian first integralAnalytic first integralBrusselator differential systemsWe characterize the Liouvillian and analytic first integrals for the polynomial differential systems of the form x' = a - (b + 1)x + x2y, y' = bx - x2y, with a, b ∈ R, called the Brusselator differential systems. 22012-01-0120122012-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/150513https://dx.doi.org/urn:doi:10.1142/S1402925112500167reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410open 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:1505132026-06-06T12:50:31Z
dc.title.none.fl_str_mv Liouvillian and analytic first integrals for the Brusselator system
title Liouvillian and analytic first integrals for the Brusselator system
spellingShingle Liouvillian and analytic first integrals for the Brusselator system
Llibre, Jaume|||0000-0002-9511-5999
Darboux polynomial
Exponential factor
Liouvillian first integral
Analytic first integral
Brusselator differential systems
title_short Liouvillian and analytic first integrals for the Brusselator system
title_full Liouvillian and analytic first integrals for the Brusselator system
title_fullStr Liouvillian and analytic first integrals for the Brusselator system
title_full_unstemmed Liouvillian and analytic first integrals for the Brusselator system
title_sort Liouvillian and analytic first integrals for the Brusselator system
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author_role author
author2 Valls, Clàudia|||0000-0001-8279-1229
author2_role author
dc.subject.none.fl_str_mv Darboux polynomial
Exponential factor
Liouvillian first integral
Analytic first integral
Brusselator differential systems
topic Darboux polynomial
Exponential factor
Liouvillian first integral
Analytic first integral
Brusselator differential systems
description We characterize the Liouvillian and analytic first integrals for the polynomial differential systems of the form x' = a - (b + 1)x + x2y, y' = bx - x2y, with a, b ∈ R, called the Brusselator differential systems.
publishDate 2012
dc.date.none.fl_str_mv 2
2012-01-01
2012
2012-01-01
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/150513
https://dx.doi.org/urn:doi:10.1142/S1402925112500167
url https://ddd.uab.cat/record/150513
https://dx.doi.org/urn:doi:10.1142/S1402925112500167
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410
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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repository.mail.fl_str_mv
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