Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system

Detalhes bibliográficos
Autor(a) principal: Buzzi, Claudio [UNESP]
Data de Publicação: 2016
Outros Autores: Llibre, Jaume, Medrado, João
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s11071-015-2429-y
http://hdl.handle.net/11449/172443
Resumo: We prove the existence of the classical Hopf bifurcation and of the zero-Hopf bifurcation in the Hindmarsh–Rose system. For doing this, some adequate change in parameters must be done in order that the computations become easier.
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spelling Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose systemHindmarsh–Rose bursterHopf bifurcationPeriodic solutionsWe prove the existence of the classical Hopf bifurcation and of the zero-Hopf bifurcation in the Hindmarsh–Rose system. For doing this, some adequate change in parameters must be done in order that the computations become easier.Departamento de Matemática IBILCE–UNESP, S. J. Rio PretoDepartament de Matemàtiques Universitat Autònoma de BarcelonaInstituto de Matemática e Estatí stica Universidade Federal de GoiásDepartamento de Matemática IBILCE–UNESP, S. J. Rio PretoUniversidade Estadual Paulista (Unesp)Universitat Autònoma de BarcelonaUniversidade Federal de Goiás (UFG)Buzzi, Claudio [UNESP]Llibre, JaumeMedrado, João2018-12-11T17:00:23Z2018-12-11T17:00:23Z2016-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1549-1556application/pdfhttp://dx.doi.org/10.1007/s11071-015-2429-yNonlinear Dynamics, v. 83, n. 3, p. 1549-1556, 2016.1573-269X0924-090Xhttp://hdl.handle.net/11449/17244310.1007/s11071-015-2429-y2-s2.0-849552003392-s2.0-84955200339.pdf66828677607174450000-0003-2037-8417Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Dynamicsinfo:eu-repo/semantics/openAccess2023-10-15T06:08:16Zoai:repositorio.unesp.br:11449/172443Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-10-15T06:08:16Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system
title Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system
spellingShingle Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system
Buzzi, Claudio [UNESP]
Hindmarsh–Rose burster
Hopf bifurcation
Periodic solutions
title_short Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system
title_full Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system
title_fullStr Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system
title_full_unstemmed Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system
title_sort Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system
author Buzzi, Claudio [UNESP]
author_facet Buzzi, Claudio [UNESP]
Llibre, Jaume
Medrado, João
author_role author
author2 Llibre, Jaume
Medrado, João
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universitat Autònoma de Barcelona
Universidade Federal de Goiás (UFG)
dc.contributor.author.fl_str_mv Buzzi, Claudio [UNESP]
Llibre, Jaume
Medrado, João
dc.subject.por.fl_str_mv Hindmarsh–Rose burster
Hopf bifurcation
Periodic solutions
topic Hindmarsh–Rose burster
Hopf bifurcation
Periodic solutions
description We prove the existence of the classical Hopf bifurcation and of the zero-Hopf bifurcation in the Hindmarsh–Rose system. For doing this, some adequate change in parameters must be done in order that the computations become easier.
publishDate 2016
dc.date.none.fl_str_mv 2016-02-01
2018-12-11T17:00:23Z
2018-12-11T17:00:23Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/s11071-015-2429-y
Nonlinear Dynamics, v. 83, n. 3, p. 1549-1556, 2016.
1573-269X
0924-090X
http://hdl.handle.net/11449/172443
10.1007/s11071-015-2429-y
2-s2.0-84955200339
2-s2.0-84955200339.pdf
6682867760717445
0000-0003-2037-8417
url http://dx.doi.org/10.1007/s11071-015-2429-y
http://hdl.handle.net/11449/172443
identifier_str_mv Nonlinear Dynamics, v. 83, n. 3, p. 1549-1556, 2016.
1573-269X
0924-090X
10.1007/s11071-015-2429-y
2-s2.0-84955200339
2-s2.0-84955200339.pdf
6682867760717445
0000-0003-2037-8417
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Nonlinear Dynamics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1549-1556
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799964574266425344

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