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Dynamics and bifurcations of a map of homographic Ricker type

2020-10Journal article Restricted access
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dc.contributor.authorRocha, J. Leonel
dc.contributor.authorTAHA, Abdel-Kaddous
dc.contributor.authorFournier-Prunaret, D.
dc.date.accessioned2021-01-21T10:44:15Z
dc.date.available2021-01-21T10:44:15Z
dc.date.issued2020-10
dc.description.abstractA dynamical system of the type homographic Ricker map is considered; this is a particular case of a new extended gamma-Ricker population model with a Holling type II per-capita birth function. The purpose of this paper is to investigate the nonlinear dynamics and bifurcation structure of the proposed model. The existence, nature and stability of the fixed points of the homographic Ricker map are analyzed, by using a Lambert W function. Fold and flip bifurcation structures of the homographic Ricker map are investigated, in which there are flip codimension-2 bifurcation points and cusp points, while some parameters evolve. Some communication areas and big bang bifurcation curves are also detected. Numerical studies are included.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationROCHA, J. Leonel; TAHA, Abdel-Kaddous; FOURNIER-PRUNARET, D. – Dynamics and bifurcations of a map of homographic Ricker type. Nonlinear Dynamics. ISSN 0924-090X. Vol. 102 , N.º 2 SI (2020), pp. 1129–1149pt_PT
dc.identifier.doi10.1007/s11071-020-05820-2pt_PT
dc.identifier.eissn1573-269X
dc.identifier.issn0924-090X
dc.identifier.urihttp://hdl.handle.net/10400.21/12660
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relationUIDB/00006/2020 - FCTpt_PT
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs11071-020-05820-2pt_PT
dc.subjectRicker mappt_PT
dc.subjectHomographic mappt_PT
dc.subjectLambert W functionpt_PT
dc.subjectFold and flip bifurcationspt_PT
dc.subjectBig bang bifurcationpt_PT
dc.subjectCusp pointpt_PT
dc.titleDynamics and bifurcations of a map of homographic Ricker typept_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage1149pt_PT
oaire.citation.issue2
oaire.citation.startPage1129pt_PT
oaire.citation.titleNonlinear Dynamicspt_PT
oaire.citation.volume102pt_PT
person.familyNameRocha
person.familyNameTAHA
person.givenNameJ. Leonel
person.givenNameAbdel-Kaddous
person.identifier1869126
person.identifier.ciencia-id6A13-4D5A-BABA
person.identifier.orcid0000-0001-8053-6822
person.identifier.orcid0000-0002-6468-3803
person.identifier.scopus-author-id24829973500
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationb0ebd0b9-c949-40d7-b8ea-41955a5559f1
relation.isAuthorOfPublication7455af10-06c2-472c-9a7d-00bd952b906c
relation.isAuthorOfPublication.latestForDiscovery7455af10-06c2-472c-9a7d-00bd952b906c

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