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

All of RECERCAT

To access the full text documents, please follow this link: http://hdl.handle.net/2117/810

Title:	A note on the periodic orbits and topological entropy of graph maps
Author:	Alseda Soler, Lluís; Juher, D.; Mumbrú i Rodriguez, Pere
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Abstract:	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.
Subject(s):	-Topological dynamics -Dynamical systems -Topology -Graph maps -periodic orbits -topological entropy -Espais topològics -Topologia -Classificació AMS::37 Dynamical systems and ergodic theory::37E Low-dimensional dynamical systems -Classificació AMS::37 Dynamical systems and ergodic theory::37B Topological dynamics -Classificació AMS::54 General topology::54C Maps and general types of spaces defined by maps -Classificació AMS::54 General topology::54H Connections with other structures, applications
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
Share: