Special \(\alpha \)-limit points and \(\gamma \)-limit points of a dendrite map

DOI10.1007/S12346-017-0225-4zbMath1392.37013OpenAlexW2582275133MaRDI QIDQ1641854

Guangwang Su, Hongjian Xi, Bin Qin, Taixiang Sun, Yalin Tang

Publication date: 20 June 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-017-0225-4

zbMATH Keywords

recurrent pointdendrite map

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (5)

Shadowing, internal chain transitivity and \(\alpha \)-limit sets ⋮ Nonwandering sets and special \(\alpha\)-limit sets of monotone maps on regular curves ⋮ Special 𝛼-limit sets ⋮ When is the beginning the end? On full trajectories, limit sets and internal chain transitivity ⋮ On the structure of \(\alpha \)-limit sets of backward trajectories for graph maps

Cites Work

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• The dynamics of monotone maps of dendrites
• Pointwise-recurrent dendrite maps
• $\overline{R} = \overline{P}$ FOR MAPS OF DENDRITES X WITH Card(End(X)) < c
• A Counterexample in Dynamical Systems of the Interval
• The Spiral of Silence in the 1948 Presidential Election
• Special α-Limit Points for Maps of the Interval
• On the Center of Continuous Maps of Dendrites
• Minimal Sets on Graphs and Dendrites
• A note on periodic points and recurrent points of maps of dendrites
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