Remarks on the existence of periodic points for continuous maps on dendrites

DOI10.1134/S1995080222100274OpenAlexW4312351536MaRDI QIDQ2095869

Elena N. Makhrova

Publication date: 15 November 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222100274

zbMATH Keywords

periodic pointdendriteperiodminimal setuniformly recurrent pointcontinuous mapmonotone mapfinite tree

Mathematics Subject Classification ID

Continuous maps (54C05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Dynamics in general topological spaces (37B02)

Cites Work

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• Dynamical properties of monotone dendrite maps
• The centre and the depth of the centre for continuous maps on dendrites with finite branch points
• The structure of dendrites with the periodic point property
• The centre and the depth of the centre for continuous maps on dendrites with unique branch point
• Properties of fixed point sets on dendrites
• The dynamics of monotone maps of dendrites
• Recurrent and periodic points in dendritic Julia sets
• $\overline{R} = \overline{P}$ FOR MAPS OF DENDRITES X WITH Card(End(X)) < c
• The centre and the depth of the centre of a tree map
• DYNAMICS OF MONOTONE GRAPH, DENDRITE AND DENDROID MAPS
• Fixed Point Theorems for Plane Continua with Applications
• One-dimensional dynamical systems
• Monotone Maps on Dendrites
• Dendrites with a closed set of end points

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