comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACION
Resum
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. [-]
Drets d'accés
info:eu-repo/semantics/openAccess