dc.contributor.author Alseda Soler, Lluís dc.contributor.author Juher, D. dc.contributor.author Mumbrú i Rodriguez, Pere dc.contributor.other Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I dc.date.accessioned 2007-06-07T14:27:13Z dc.date.available 2007-06-07T14:27:13Z dc.date.created 2001 dc.date.issued 2001 dc.identifier.uri http://hdl.handle.net/2117/1071 dc.description.abstract 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 of f|P and the topological structure of T. In particular, a type p ≥ 1 of P is defined as a generalization of the notion introduced by Baldwin in his characterization of the set of periods of star maps. It follows that there exists a divisor k of the period of P such that if the set of periods of f is not finite then it contains either all the multiples of kp or an initial segment of the kp≥ Baldwin’s ordering, except for a finite set which is explicitly bounded. Conversely, examples are given where f has precisely these sets of periods. dc.format.extent 31 dc.language.iso eng dc.rights Attribution-NonCommercial-NoDerivs 2.5 Spain dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/2.5/es/ dc.subject.lcsh Differentiable dynamical systems dc.subject.other tree maps dc.title Sets of periods for piecewise monotone tree maps dc.type Article dc.subject.lemac Sistemes dinàmics diferenciables dc.subject.ams Classificació AMS::37 Dynamical systems and ergodic theory::37E Low-dimensional dynamical systems dc.rights.access Open Access local.personalitzacitacio true
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