Now showing items 1-10 of 10

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

      Alseda Soler, Lluís; Juher, D.; Mumbrú i Rodriguez, Pere (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 ...
    • A note on the totally transitive graph maps 

      Alseda Soler, Lluís; Río, M.A. del; Rodríguez Méndez, José Ángel (2000)
      Article
      Open Access
    • Axiomatic definition of the topological entropy on the interval 

      Alseda Soler, Lluís; Kolyada, Sergi; Llibre Saló, Jaume; Snoha, Lubomír (2000)
      Article
      Open Access
      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 ...
    • Linear orderings and the sets of periods for star maps 

      Alseda Soler, Lluís; Misiurewicz, Michal (2001)
      Article
      Open Access
    • On the minimal models for graph maps 

      Alseda Soler, Lluís; Juher, D.; Mumbrú i Rodriguez, Pere (2000)
      Article
      Open Access
    • On the primary orbits of star maps 

      Alseda Soler, Lluís; Moreno Moreno, José Miguel (2001)
      Article
      Open Access
      This paper is the first one of a series of two, in which we characterizea class of primary orbits of self maps of the 4-star with the branching pointfixed. This class of orbits plays, for such maps, the same role as the ...
    • On the topological dynamics and phase-locking renormalization of Lorenz-Like maps 

      Alseda Soler, Lluís; Falcó, A. (2000)
      Article
      Open Access
      The aim of this paper is twofold. First we give a characterization of the set of kneading invariants for the class of Lorenz--like maps considered as a map of the circle of degree one with one discontinuity. In a second ...
    • Rotation sets for orbits of degree one circle maps 

      Alseda Soler, Lluís; Chas, Moira; Mañosas Capellades, Francesc (2000)
      Article
      Open Access
      Let F be the lifting of a circle map of degree one. In [R. Bam´on, I. P. Malta, M. J. Pacifico and F.Takens, Ergodic Theory Dyn. Syst. 4, 493-498 (1984; Zbl 0605.58027)], a notion of F-rotation interval of a point x 2 ...
    • Sets of periods for piecewise monotone tree maps 

      Alseda Soler, Lluís; Juher, D.; Mumbrú i Rodriguez, Pere (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 

      Alseda Soler, Lluís; Gauteuro, François; Guaschi, J.; Los, J.; Mañosas Capellades, Francesc; Mumbrú i Rodriguez, Pere (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 ...