Dynamics on Binary Relations over Topological Spaces
AbstractThe 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. View Full-Text
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Chen, C.-C.; Conejero, J.A.; Kostić, M.; Murillo-Arcila, M. Dynamics on Binary Relations over Topological Spaces. Symmetry 2018, 10, 211.
Chen C-C, Conejero JA, Kostić M, Murillo-Arcila M. Dynamics on Binary Relations over Topological Spaces. Symmetry. 2018; 10(6):211.Chicago/Turabian Style
Chen, Chung-Chuan; Conejero, J. A.; Kostić, Marko; Murillo-Arcila, Marina. 2018. "Dynamics on Binary Relations over Topological Spaces." Symmetry 10, no. 6: 211.
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