dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Colucci, Renato | es |
dc.creator | Guerrini, Luca | es |
dc.date.accessioned | 2019-07-01T12:11:07Z | |
dc.date.available | 2019-07-01T12:11:07Z | |
dc.date.issued | 2019-06 | |
dc.identifier.citation | Caraballo Garrido, T., Colucci, R. y Guerrini, L. (2019). Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study. Discrete and Continuous Dynamical Systems - Series B, 24 (6), 2639-2655. | |
dc.identifier.issn | 1531-3492 | es |
dc.identifier.issn | 1553-524X | es |
dc.identifier.uri | https://hdl.handle.net/11441/87741 | |
dc.description.abstract | In this article we consider a model introduced by Ucar in order to simply describe chaotic behaviour with a one dimensional ODE containing a constant delay. We study the bifurcation problem of the equilibria and we obtain an approximation of the periodic orbits generated by the Hopf bifurcation. Moreover, we propose and analyse a more general model containing distributed time delay. Finally, we propose some ideas for further study. All the theoretical results are supported and illustrated by numerical simulations. | es |
dc.description.sponsorship | Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía | es |
dc.description.sponsorship | Junta de Andalucía 2010/FQM314 | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2015-63723-P P12-FQM-1492 | es |
dc.description.sponsorship | Federación Española de Enfermedades Raras | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Institute of Mathematical | es |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems - Series B, 24 (6), 2639-2655. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Differential equation with delay | es |
dc.subject | Distributed time delay | es |
dc.subject | Hopf bifurcation | es |
dc.subject | Qualitative behaviour of solutions | es |
dc.title | Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | 2010/FQM314 | es |
dc.relation.projectID | MTM2015-63723-P | es |
dc.relation.projectID | P12-FQM-1492 | es |
dc.relation.publisherversion | http://doi.org/10.3934/dcdsb.2018268 | es |
dc.identifier.doi | 10.3934/dcdsb.2018268 | es |
idus.format.extent | 17 p. | es |
dc.journaltitle | Discrete and Continuous Dynamical Systems - Series B | es |
dc.publication.volumen | 24 | es |
dc.publication.issue | 6 | es |
dc.publication.initialPage | 2639 | es |
dc.publication.endPage | 2655 | es |