Dynamics on Binary Relations over Topological Spaces
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Otros documentos de la autoría: Chen, Chung-Chuan; Conejero, J. Alberto; Kostic, Marko; murillo arcila, marina
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Título
Dynamics on Binary Relations over Topological SpacesFecha de publicación
2018Editor
MDPIISSN
2073-8994Cita bibliográfica
CHEN, Chung-Chuan, et al. Dynamics on binary relations over topological spaces. Symmetry, 2018, 10.6: 211Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.mdpi.com/2073-8994/10/6/211Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
The existence of chaos and the quest of dense orbits have been recently considered for
dynamical systems given by multivalued linear operators. We consider the notions of topological
transitivity, topologically ... [+]
The existence of chaos and the quest of dense orbits have been recently considered for
dynamical systems given by multivalued linear operators. We consider the notions of topological
transitivity, topologically mixing property, hypercyclicity, periodic points, and Devaney chaos in the
general case of binary relations on topological spaces, and we analyze how they can be particularized
when they are represented with graphs and digraphs. The relations of these notions with different
types of connectivity and with the existence of Hamiltonian paths are also exposed. Special attention
is given to the study of dynamics over tournaments. Finally, we also show how disjointness can be
introduced in this setting. [-]
Publicado en
Symmetry, 2018, vol. 10, núm. 6Proyecto de investigación
The second and fourth authors were supported by MEC Project MTM2016-75963-PDerechos de acceso
info:eu-repo/semantics/openAccess
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