On the omega-limit map on 1-dimensional continua

DOI10.1007/s12346-021-00511-8zbMath1478.37012OpenAlexW3188637764MaRDI QIDQ1981907

Ghassen Askri

Publication date: 7 September 2021

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

Full work available at URL: https://doi.org/10.1007/s12346-021-00511-8

zbMATH Keywords

equicontinuityrecurrent pointdendrite maplocal dendrite mapalmost periodic setomega limit map

Mathematics Subject Classification ID

Topological spaces of dimension (leq 1); curves, dendrites (54F50) Continua theory in dynamics (37B45) 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 (1)

On set-valued discrete dynamical systems

Cites Work

• Unnamed Item
• Continuous maps of the circle without periodic points
• Dynamics in one dimension
• Equicontinuity of iterates of circle maps
• Equicontinuity of maps on dendrites
• Pointwise recurrence on local dendrites
• Equicontinuity of maps on a dendrite with finite branch points
• $\overline{R} = \overline{P}$ FOR MAPS OF DENDRITES X WITH Card(End(X)) < c
• The structure of equicontinuous maps
• Chain recurrent points of monotone graph maps and CR-Pm property on local dendrites
• Equicontinuity and Li–Yorke pairs of dendrite maps
• Equicontinuous mappings on finite trees
• Pointwise-recurrent maps on uniquely arcwise connected locally arcwise connected spaces
• Dendrites with a closed set of end points

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