Ll. Alsedà, David Juher, Pere Mumbrú
Abstract
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This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits.
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This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits.
Key concepts: Topological entropy, Periodic orbits, Topological entropy in physics, Mathematics, Graph, Entropy (arrow of time), Topology (electrical circuits), Statistical physics