Vertex maps for trees: algebra and periods of periodic orbits

DOI10.3934/DCDS.2006.14.399zbMath1110.37033OpenAlexW2017942932MaRDI QIDQ867386

Chris Bernhardt

Publication date: 15 February 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.14.399

zbMATH Keywords

tree mapsSharkovsky's theoremperiods of orbits

Mathematics Subject Classification ID

Combinatorial dynamics (types of periodic orbits) (37E15) Symmetric groups (20B30) Dynamical systems involving maps of trees and graphs (37E25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (11)

An Optimal Lower Bound for the Size of Periodic Digraphs ⋮ Rotation matrices for vertex maps on graphs ⋮ Minimal set of periods for continuous self-maps of the eight space ⋮ Periods of orbits for maps on graphs homotopic to a constant map ⋮ Vertex maps on graphs-trace theorems ⋮ Rotation sets for graph maps of degree 1 ⋮ Zero-entropy vertex maps on graphs ⋮ Linear and metric maps on trees via Markov graphs ⋮ A Sharkovsky theorem for vertex maps on trees ⋮ Generalizing the rotation interval to vertex maps on graphs ⋮ On the set of periods of sigma maps of degree 1

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