Rotation sets for graph maps of degree 1

DOI10.5802/aif.2384zbMath1192.37059arXiv1901.01524OpenAlexW2495267340MaRDI QIDQ933635

Lluís Alsedà, Sylvie Ruette

Publication date: 24 July 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01524

zbMATH Keywords

rotation numberssets of periodsone-dimensional dynamicsgraph maps

Mathematics Subject Classification ID

Related Items (7)

Minimal set of periods for continuous self-maps of the eight space ⋮ Periods of orbits for maps on graphs homotopic to a constant map ⋮ Rotation set for maps of degree 1 on the graph sigma ⋮ Periodic orbits of large diameter for circle maps ⋮ The rotation sets of most volume preserving homeomorphisms on \(\mathbb{T}^d\) are stable, convex and rational polyhedrons ⋮ Generalizing the rotation interval to vertex maps on graphs ⋮ On the set of periods of sigma maps of degree 1

Cites Work

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• On the preservation of combinatorial types for maps on trees.
• Vertex maps for trees: algebra and periods of periodic orbits
• Minimal dynamics for tree maps
• Rotation Numbers for Monotone Functions on the Circle
• Rotation sets are closed
• An extension of Šarkovskiư's Theorem to the n-od
• Homoclinic Points of Mappings of the Interval
• SETS OF PERIODS FOR PIECEWISE MONOTONE TREE MAPS
• Periods for Continuous Self-Maps of the Figure-Eight Space
• Periodic Orbits of Maps of Y
• Minimizing topological entropy for continuous maps on graphs
• Periods of maps on trees with all branching points fixed
• On the Set of Periods for σ Maps
• Periodic behavior on trees

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