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Sets of periods for piecewise monotone tree maps
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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