Periods of orbits for maps on graphs homotopic to a constant map

DOI10.1080/10236198.2012.689295zbMath1338.37053arXiv1108.2899OpenAlexW2008331059MaRDI QIDQ5301057

Whitney Radil, Adriana Johnson, Chris Bernhardt, Zach Gaslowitz

Publication date: 2 July 2013

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

Full work available at URL: https://arxiv.org/abs/1108.2899

zbMATH Keywords

periodic orbitsgraphsvertex mapshomotopic to constant map

Mathematics Subject Classification ID

Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical systems involving maps of trees and graphs (37E25) Rotation numbers and vectors (37E45)

Related Items (1)

Vertex maps on graphs – Perron–Frobenius theory

Cites Work

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• Vertex maps for trees: algebra and periods of periodic orbits
• Rotation sets for graph maps of degree 1
• Canonical representatives for patterns of tree maps
• A Sharkovsky theorem for vertex maps on trees
• Periods for Continuous Self-Maps of the Figure-Eight Space
• Periodic behavior on trees

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