dc.creator | Kloeden, Peter E. | |
dc.creator | Marín Rubio, Pedro | |
dc.date.accessioned | 2015-06-23T13:55:07Z | |
dc.date.available | 2015-06-23T13:55:07Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Kloeden, P.E. y Marín Rubio, P. (2011). Negatively Invariant Sets and Entire Trajectories of Set-Valued Dynamical Systems. Journal of Dynamics and Differential Equations, 19 (1), 437-450 . | es |
dc.identifier.issn | 1040-7294 | |
dc.identifier.issn | 1572-9222 | |
dc.identifier.uri | http://hdl.handle.net/11441/25934 | |
dc.description.abstract | Strongly negatively invariant compact sets of set-valued autonomous and nonautonomous dynamical systems on a complete metric space, the latter formulated in terms of processes, are shown to contain a weakly positively invariant family and hence entire solutions. For completeness the strongly positively invariant case is also considered, where the obtained invariant family is strongly invariant. Both discrete and continuous time systems are treated. In the nonautonomous case, the various types
of invariant families are in fact composed of subsets of the state space that are mapped onto each other by the set-valued process. A simple example shows the usefulness of the result for showing the occurrence of a bifurcation in a set-valued dynamical system. | |
dc.format | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Springer Verlag (Germany) | |
dc.relation.ispartof | Journal of Dynamics and Differential Equations, 19 (1), 437-450 | |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 España | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
dc.subject | Entire solutions | |
dc.subject | Invariant sets | |
dc.subject | Positively invariant sets | |
dc.subject | Negatively invariant sets | |
dc.subject | Set-valued dynamical systems | |
dc.subject | Autonomous and nonautonomous dynamical systems | |
dc.subject | Set-valued processes | |
dc.title | Negatively Invariant Sets and Entire Trajectories of Set-Valued Dynamical Systems | |
dc.type | info:eu-repo/semantics/article | |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | |
dc.relation.publisherversion | http://doi.org/10.1007/s11228-009-0123-2 | es |
dc.identifier.doi | 10.1007/s11228-009-0123-2 | es |
dc.journaltitle | Journal of Dynamics and Differential Equations | es |
dc.publication.volumen | 13 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 450 | es |
dc.publication.endPage | 437 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/25934 | |