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Bifurcation structures in a 2D exponential diffeomorphism with Allee effect

2019-03Journal article Restricted access
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dc.contributor.authorRocha, J. Leonel
dc.contributor.authorTaha, Abdel-Kaddous
dc.date.accessioned2019-01-14T10:26:15Z
dc.date.available2019-01-14T10:26:15Z
dc.date.issued2019-03
dc.description.abstractAn embedding of one-dimensional generic growth functions into a two-dimensional diffeomorphism is considered. This family of unimodal maps naturally incorporates a key item of ecological and biological research: the Allee effect. Consequently, the presence of this species extinction phenomenon leads us to a new definition of bifurcation for this two-dimensional exponential diffeomorphism: Allee’s effect bifurcation. The stability and the nature of the fixed points of the two-dimensional diffeomorphism are analyzed, by studying the corresponding contour lines. Fold and flip bifurcation structures of this exponential diffeomorphism are investigated, in which there are flip codimension-2 bifurcation points and cusp points, when some parameters evolve. Numerical studies are included.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationROCHA, J. Leonel; TAHA, Abdel-Kaddous – Bifurcation structures in a 2D exponential diffeomorphism with Allee effect. Nonlinear Dynamics. ISSN 0924-090X. Vol. 95, N.º 4 (2019), pp. 3357-3374pt_PT
dc.identifier.doihttps://doi.org/10.1007/s11071-019-04759-3pt_PT
dc.identifier.issn0924-090X
dc.identifier.issn1573-269X
dc.identifier.urihttp://hdl.handle.net/10400.21/9319
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relationDinâmicas e Estruturas de Bifurcação de Aplicações Logísticas Generalizadas
dc.relation.publisherversionhttps://link.springer.com/content/pdf/10.1007%2Fs11071-019-04759-3.pdfpt_PT
dc.subjectAllee’s effect bifurcationpt_PT
dc.subjectFold and flip bifurcationspt_PT
dc.subjectDiffeomorphismspt_PT
dc.subjectContour linept_PT
dc.subjectLinha de contornopt_PT
dc.subjectDobrar e virar bifurcaçõespt_PT
dc.titleBifurcation structures in a 2D exponential diffeomorphism with Allee effectpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleDinâmicas e Estruturas de Bifurcação de Aplicações Logísticas Generalizadas
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00006%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT//SFRH%2FBSAB%2F128144%2F2016/PT
oaire.citation.endPage3374pt_PT
oaire.citation.issue4
oaire.citation.startPage3357pt_PT
oaire.citation.titleNonlinear Dynamicspt_PT
oaire.citation.volume95
oaire.fundingStream5876
person.familyNameRocha
person.givenNameJ. Leonel
person.identifier1869126
person.identifier.ciencia-id6A13-4D5A-BABA
person.identifier.orcid0000-0001-8053-6822
person.identifier.scopus-author-id24829973500
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication.latestForDiscoveryb0ebd0b9-c949-40d7-b8ea-41955a5559f1
relation.isProjectOfPublication7a20a023-28f3-4511-9c17-8af40583253d
relation.isProjectOfPublication61718b71-fc88-4d01-906d-386168305034
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