\(\omega\)-limit sets for monotone local dendrite maps

DOI10.1016/j.chaos.2014.12.003zbMath1352.37123OpenAlexW2024675730MaRDI QIDQ728297

Hafedh Abdelli

Publication date: 20 December 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2014.12.003

zbMATH Keywords

\(\omega\)-limit setmonotone maplocal dendrite map

Mathematics Subject Classification ID

Topological spaces of dimension (leq 1); curves, dendrites (54F50) Dynamical systems involving maps of trees and graphs (37E25)

Related Items (15)

Nonwandering points of monotone local dendrite maps revisited ⋮ Group action on local dendrites ⋮ On totally periodic \(\omega \)-limit sets for monotone maps on regular curves ⋮ Minimal sets on continua with a dense free interval ⋮ Dynamics of monotone maps on regular curves ⋮ Nonwandering sets and special \(\alpha\)-limit sets of monotone maps on regular curves ⋮ Chain recurrent points of monotone graph maps and CR-Pm property on local dendrites ⋮ Equicontinuity of maps on local dendrites ⋮ On limit sets of monotone maps on regular curves ⋮ Möbius disjointness conjecture for local dendrite maps ⋮ Equicontinuous actions on semi-locally connected and local dendrites ⋮ The depths and the attracting centres for continuous maps on local dendrites with the number of branch points being finite ⋮ Invariant Sets for Monotone Local Dendrite Maps ⋮ Equicontinuous local dendrite maps ⋮ Minimal sets and orbit spaces for group actions on local dendrites

Cites Work

• Dynamical properties of monotone dendrite maps
• Dynamics in one dimension
• Topological size of scrambled sets for local dendrite maps
• Minimal Sets on Graphs and Dendrites
• DYNAMICS OF MONOTONE GRAPH, DENDRITE AND DENDROID MAPS
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