RT journal article
T1 Dynamics on binary relations over topological spaces
A1 Chen, Chung-Chuan
A1 Conejero, J.A.
A1 Kostic, Marko
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 Devaney chaos
K1 hypercyclicity
K1 topological transitivity
K1 topologically mixing
K1 disjointness
K1 connectivity
AB The existence of chaos and the quest of dense orbits have been recently consideredfor dynamical systems given by multivalued linear operators. We considerthe notions of topological transitivity, topologically mixing property,hypercyclicity, periodic points, and Devaney chaos in the general caseof binary relations on topological spaces and we analyze how they can be particularizedwhen they are represented with graphs and digraphs. The relationsof these notions with di erent types of connectivity and with the existence ofHamiltonian paths are also exposed. Special attention is given to the studyof dynamics over tournaments. Finally, we also show how disjointness can beintroduced in this setting.
PB MDPI
SN 2073-8994
YR 2018
FD 2018
LK http://hdl.handle.net/10498/35392
UL http://hdl.handle.net/10498/35392
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026