Now showing items 1-4 of 4

• #### A note on the periodic orbits and topological entropy of graph maps ﻿

(2000)
Article
Open Access
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 ...
• #### On the minimal models for graph maps ﻿

(2000)
Article
Open Access
• #### Sets of periods for piecewise monotone tree maps ﻿

(2001)
Article
Open Access
We study the set of periods of tree maps f : T −→ T which are monotone between any two consecutive points of a fixed periodic orbit P. This set is characterized in terms of some integers which depend only on the combinatorics ...
• #### Types d'orbites et dynamique minimale pour les applicationes continues de graphes ﻿

(2001)
Article
Open Access
We define the type of a periodic orbit of a graph map. We consider the class of ‘train-track’ representatives, that is, those graph maps which minimize the topological entropy of the topological representatives of a given ...