dc.creator | Langa Rosado, José Antonio | es |
dc.creator | Robinson, James C. | es |
dc.creator | Suárez Fernández, Antonio | es |
dc.date.accessioned | 2016-07-06T09:03:46Z | |
dc.date.available | 2016-07-06T09:03:46Z | |
dc.date.issued | 2005-08 | |
dc.identifier.citation | Langa Rosado, J.A., Robinson, J.C. y Suárez Fernández, A. (2005). Bifurcation from zero of a complete trajectory for non-autonomous logistic PDEs. International Journal of Bifurcation and Chaos, 15 (8), 2663-2669. | |
dc.identifier.issn | 0218-1274 | es |
dc.identifier.issn | 1793-6551 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43225 | |
dc.description.abstract | In this paper we extend the well-known bifurcation theory for autonomous
logistic equations to the non-autonomous equation
ut − ∆u = λu − b(t)u
2 with b(t) ∈ [b0, B0],
0 < b0 < B0 < 2b0. In particular, we prove the existence of a unique uniformly
bounded trajectory that bifurcates from zero as λ passes through
the first eigenvalue of the Laplacian, which attracts all other trajectories.
Although it is this relatively simple equation that we analyse in detail,
other more involved models can be treated using similar techniques. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | World Scientific Publishing | es |
dc.relation.ispartof | International Journal of Bifurcation and Chaos, 15 (8), 2663-2669. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Non-autonomous differential equations | es |
dc.subject | Bifurcation from zero | es |
dc.subject | Comparison techniques | es |
dc.subject | Complete trajectories | es |
dc.title | Bifurcation from zero of a complete trajectory for non-autonomous logistic PDEs | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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 | BFM2002- 03068 | es |
dc.relation.projectID | BFM2003-06446 | es |
dc.relation.publisherversion | http://doi.org/10.1142/S0218127405013605 | |
dc.identifier.doi | 10.1142/S0218127405013605 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software | es |
idus.format.extent | 14 p. | es |
dc.journaltitle | International Journal of Bifurcation and Chaos | es |
dc.publication.volumen | 15 | es |
dc.publication.issue | 8 | es |
dc.publication.initialPage | 2663 | es |
dc.publication.endPage | 2669 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43225 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | |