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oai:docta.ucm.es:20.500.14352/501492023-08-25T15:52:37Zcom_20.500.14352_14col_20.500.14352_15

Sánchez Gabites, Jaime Jorge Rodríguez Sanjurjo, José Manuel 2023-06-20T09:40:10Z 2023-06-20T09:40:10Z 2008-04 0166-8641 10.1016/j.topol.2006.10.016 https://hdl.handle.net/20.500.14352/50149 http://www.sciencedirect.com/science/article/pii/S0166864107003811 http://www.sciencedirect.com/ Under suitable hypotheses the well known notion of first prolongational set J(+) gives rise to a multivalued map Psi : X -> 2(X) which is continuous when the upper semifinite topology is considered in the hyperspace of X. Some important dynamical concepts such as stability or attraction can be easily characterized in terms of Psi and moreover, the classical result that an attractor in R '' has the shape of a finite polyhedron can be reinforced under the hypotheses that the mapping Psi is small and has a selection. eng restricted access Multivalued maps, selections and dynamical systems journal article