Non-wandering sets of the powers of maps of a tree

DOI10.1007/BF02872280zbMath1019.37023OpenAlexW2224809890MaRDI QIDQ1609579

Wen Huang, Xiang Dong Ye

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02872280

zbMATH Keywords

treetopological entropycontinuous mapnon-wandering points

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving maps of trees and graphs (37E25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (5)

Nonwandering points of monotone local dendrite maps revisited ⋮ Non-wandering sets of the powers of dendrite maps ⋮ Recurrent points and non-wandering points of graph maps ⋮ Special \(\alpha \)-limit points and unilateral \(\gamma \)-limit points for graph maps ⋮ Chain recurrent points and topological entropy of a tree map

Cites Work

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• Dynamics in one dimension
• Canonical representatives for patterns of tree maps
• Entropy of transitive tree maps
• Non-wandering sets of the powers of maps of the interval
• Chain recurrent points of a tree map
• Topological Entropy for Finite Invariant Subsets of Y
• Topological entropy of transitive maps of a tree
• Some remarks on almost periodic transformations
• Powers of homeomorphisms with almost periodic properties

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