A Sharkovsky theorem for vertex maps on trees

DOI10.1080/10236190902919327zbMath1226.37021OpenAlexW2046238010MaRDI QIDQ3085092

Chris Bernhardt

Publication date: 28 March 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190902919327

zbMATH Keywords

tree mapsSharkovsky's theorembinary expansionperiods of orbits

Mathematics Subject Classification ID

Trees (05C05) Dynamical systems involving maps of the interval (37E05)

Related Items (5)

Rotation matrices for vertex maps on graphs ⋮ Periods of orbits for maps on graphs homotopic to a constant map ⋮ Vertex maps on graphs-trace theorems ⋮ On the minimum positive entropy for cycles on trees ⋮ Generalizing the rotation interval to vertex maps on graphs

Cites Work

• Vertex maps for trees: algebra and periods of periodic orbits
• Dynamics in one dimension
• Canonical representatives for patterns of tree maps
• An extension of Šarkovskiư's Theorem to the n-od
• A Proof of Sharkovsky's Theorem
• Periodic Orbits of Maps of Y
• No division and the set of periods for tree maps
• Periodic behavior on trees

This page was built for publication: A Sharkovsky theorem for vertex maps on trees