Show simple item record

dc.contributor.authorAlseda Soler, Lluís
dc.contributor.authorGauteuro, François
dc.contributor.authorGuaschi, J.
dc.contributor.authorLos, J.
dc.contributor.authorMañosas Capellades, Francesc
dc.contributor.authorMumbrú i Rodriguez, Pere
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractWe 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.
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject.lcshDifferentiable dynamical systems
dc.subject.otherapplicationes continues de graphes
dc.titleTypes d'orbites et dynamique minimale pour les applicationes continues de graphes
dc.subject.lemacSistemes dinàmics diferenciables
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37E Low-dimensional dynamical systems
dc.rights.accessOpen Access

Files in this item


This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivs 2.5 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 2.5 Spain