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 Solutions. Journal of Dynamics and Differential Equations, 23 (3), 437-450. | |
dc.identifier.issn | 1040-7294 | |
dc.identifier.issn | 1572-9222 | |
dc.identifier.uri | http://hdl.handle.net/11441/25933 | |
dc.description.abstract | Negatively invariant compact sets of autonomous and nonautonomous dynamical systems on a metric space, the latter formulated in terms of processes, are shown to contain a strictly invariant set and hence entire solutions. For completeness the positively invariant case is also considered. Both discrete and continuous time systems are considered. In the nonautonomous case, the various types of invariant sets are in fact families of subsets of the state space that are mapped onto each other by the process. A simple example shows the usefulness of the result for showing the occurrence of a bifurcation in a nonautonomous system. | |
dc.format | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Springer Verlag (Germany) | |
dc.relation.ispartof | Journal of Dynamics and Differential Equations, 23 (3), 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 | Positive invariant sets | |
dc.subject | Negative invariant sets | |
dc.subject | Autonomous dynamical systems | |
dc.subject | Nonautonomous dynamical systems | |
dc.subject | Processes | |
dc.title | Negatively Invariant Sets and Entire Solutions | |
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://dx.doi.org/10.1007/s10884-010-9196-8 | es |
dc.identifier.doi | 10.1007/s10884-010-9196-8 | es |
dc.journaltitle | Journal of Dynamics and Differential Equations | es |
dc.publication.volumen | 23 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 437 | es |
dc.publication.endPage | 450 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/25933 | |