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SETS OF PERIODS FOR PIECEWISE MONOTONE TREE MAPS

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Publication:4653772
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DOI10.1142/S021812740300656XzbMath1056.37049OpenAlexW2885535800MaRDI QIDQ4653772

Pere Mumbrú, David Juher, Lluís Alsedà

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812740300656x


zbMATH Keywords

periodic orbitsset of periodsTree maps


Mathematics Subject Classification ID

Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical systems involving maps of trees and graphs (37E25)


Related Items (3)

Rotation sets for graph maps of degree 1 ⋮ Zero-entropy vertex maps on graphs ⋮ On the set of periods of sigma maps of degree 1



Cites Work

  • Generalizations of a theorem of Šarkovskii on orbits of continuous real-valued functions
  • Ergodic theory on compact spaces
  • Horseshoes, entropy and periods for graph maps
  • Canonical representatives for patterns of tree maps
  • A note on the periodic orbits and topological entropy of graph maps
  • Periods implying almost all periods for tree maps
  • Periodic Orbits of Maps of Y


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