Special \(\alpha \)-limit points and unilateral \(\gamma \)-limit points for graph maps

DOI10.1007/s11425-011-4254-1zbMath1234.37035OpenAlexW1981024688MaRDI QIDQ763666

Taixiang Sun, Hongjian Xi, Hailan Liang

Publication date: 29 March 2012

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

Full work available at URL: https://doi.org/10.1007/s11425-011-4254-1

zbMATH Keywords

periodic pointgraph maprecurrent pointspecial \(\alpha \)-limit pointunilateral \(\gamma \)-limit point

Mathematics Subject Classification ID

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

Related Items (9)

Special \(\alpha \)-limit points and \(\gamma \)-limit points of a dendrite map ⋮ A non-Borel special alpha-limit set in the square ⋮ Birkhoff centre and backward limit points ⋮ 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 ⋮ Topological entropy of a graph map ⋮ 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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