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On the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative condition

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dc.contributor.authorFranco Leis, Daniel
dc.contributor.authorGuiver, Chris
dc.contributor.authorLogemann, Harmut
dc.contributor.authorPerán Mazón, Juan Jacobo
dc.contributor.editorKriszrin, Tibor
dc.contributor.editorWebb, Jeff R. L.
dc.date.accessioned2025-06-25T16:37:48Z
dc.date.available2025-06-25T16:37:48Z
dc.date.issued2020-12-21
dc.descriptionThe registered version of this article, first published in “Electronic Journal of Qualitative Theory of Differential Equations, pp. 1-15, (2020)", is available online at the publisher's website: Universidad nacional de Educación a Distancia, https://doi.org/10.14232/ejqtde.2020.1.76
dc.description.abstractWe study the size of the global attractor for a delay differential equation with unimodal feedback. We are interested in extending and complementing a dichotomy result by Liz and Röst, which assumed that the Schwarzian derivative of the nonlinear feedback is negative in a certain interval. Using recent stability results for difference equations, we obtain a stability dichotomy for the original delay differential equation in the situation wherein the Schwarzian derivative of the nonlinear term may change sign. We illustrate the applicability of our results with several examples.en
dc.description.versionversión original
dc.identifier.citationFranco, Daniel, Guiver, Chris, Logemann, Hartmut, Perán, Juan. Electron. J. Qual. Theory Differ. Equ. 2020, No. 76, 1-15. ISSN 1417-3875. DOI: https://doi.org/10.14232/ejqtde.2020.1.76
dc.identifier.doihttps://doi.org/10.14232/ejqtde.2020.1.76
dc.identifier.issn1417-3875
dc.identifier.urihttps://hdl.handle.net/20.500.14468/26922
dc.journal.issue76
dc.journal.titleElectronic Journal of Qualitative Theory of Differential Equations
dc.journal.volume2020
dc.language.isoen
dc.page.final15
dc.page.initial1
dc.publisherElectronic Journal of Qualitative Theory of Differential Equations
dc.relation.centerFacultades y escuelas::E.T.S. de Ingenieros Industriales
dc.relation.departmentMATEMÁTICA APLICADA I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.uriAtribución-CompartirIgual 4.0 Internacional
dc.subject12 Matemáticas
dc.subject33 Ciencias Tecnológicas
dc.subject.keywordsdelay differential equationsen
dc.subject.keywordsdifference equationsen
dc.subject.keywordsglobal attractoren
dc.titleOn the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative conditionen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication4fc550fa-e1bc-448a-b7d8-df57abfe88a7
relation.isAuthorOfPublication024d8fb0-a117-4839-8f61-1ad45ee0fdb4
relation.isAuthorOfPublication.latestForDiscovery4fc550fa-e1bc-448a-b7d8-df57abfe88a7
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