Types d'orbites et dynamique minimale pour les applicationes continues de graphes

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor.author	Alseda Soler, Lluís
dc.contributor.author	Gauteuro, François
dc.contributor.author	Guaschi, J.
dc.contributor.author	Los, J.
dc.contributor.author	Mañosas Capellades, Francesc
dc.contributor.author	Mumbrú i Rodriguez, Pere
dc.date	2001
dc.identifier.uri	http://hdl.handle.net/2117/1070
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Differentiable dynamical systems
dc.subject	orbites
dc.subject	applicationes continues de graphes
dc.subject	Sistemes dinàmics diferenciables
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37E Low-dimensional dynamical systems
dc.title	Types d'orbites et dynamique minimale pour les applicationes continues de graphes
dc.type	info:eu-repo/semantics/article
dc.description.abstract	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 free group endomorphism. We prove that each type of periodic orbit realized by an efficient representative is also realised by any representative of the same free group endomorphism. Moreover, the number of periodic orbits of a given type is minimized by the efficient representatives.