Universidad Complutense de Madrid
E-Prints Complutense

Multivalued maps, selections and dynamical systems



Downloads per month over past year

Sánchez Gabites, Jaime Jorge and Rodríguez Sanjurjo, José Manuel (2008) Multivalued maps, selections and dynamical systems. Topology and its Applications, 155 (8). pp. 874-882. ISSN 0166-8641

[img] PDF
Restringido a Repository staff only


Official URL: http://www.sciencedirect.com/science/article/pii/S0166864107003811



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.

Item Type:Article
Uncontrolled Keywords:Multivaluedmaps; Selections; Upper semifinite topology; Dynamicalsystems; Attractors
Subjects:Sciences > Mathematics > Geometry
Sciences > Mathematics > Topology
ID Code:16782
Deposited On:19 Oct 2012 09:09
Last Modified:12 Dec 2018 15:13

Origin of downloads

Repository Staff Only: item control page