Graph maps whose periodic points form a closed set

DOI10.1016/j.jmaa.2010.05.062zbMath1218.37047OpenAlexW2060778214MaRDI QIDQ990847

Song Shao, Jie Hua Mai

Publication date: 1 September 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.062

zbMATH Keywords

periodic pointgraph maprecurrent pointnon-wandering point\(\omega \)-limit point

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of trees and graphs (37E25)

Cites Work

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• Dynamical systems on one-dimensional branched manifolds. I
• Dynamics in one dimension
• \(\overline R= R \cup \overline P\) for graph maps
• The Chain Recurrent Set for Maps of the Circle
• The Chain Recurrent Set for Maps of the Interval
• Maps of the Interval with Closed Periodic Set
• Mappings of the Interval with Finitely Many Periodic Points Have Zero Entropy
• Continuous Maps of the Interval whose Periodic Points form a Closed Set
• Spaces of ω-limit sets of graph maps

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