Axiomatic definition of the topological entropy on the interval

All of RECERCAT

To access the full text documents, please follow this link: http://hdl.handle.net/2117/808

Title:	Axiomatic definition of the topological entropy on the interval
Author:	Alseda Soler, Lluís; Kolyada, Sergi; Llibre Saló, Jaume; Snoha, Lubomír
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Abstract:	Summary. The aim of this paper is to give an axiomatic definition of the topological entropy for continuous interval maps and, in such a way, to shed some more light on the importance of the different properties of the topological entropy in this setting. We give two closely related axiomatic definitions of topological entropy and an axiomatic characterization of the topological chaos.
Subject(s):	-Topology -Dynamical systems -Topological dynamics -Functions of real variables -Interval maps -topological entropy -axiomatic definition -chaos -iterate -iterative root -factor -lower semicontinuity -pouring water -semiconjugacy -Topologia -Funcions d'una variable -Classificació AMS::37 Dynamical systems and ergodic theory::37B Topological dynamics -Classificació AMS::26 Real functions::26A Functions of one variable -Classificació AMS::37 Dynamical systems and ergodic theory::37E Low-dimensional dynamical systems -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: