On limit sets of monotone maps on dendroids

DOI10.2478/AMNS.2020.2.00056OpenAlexW3108797727MaRDI QIDQ2690777

Elena N. Makhrova

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.2.00056

zbMATH Keywords

periodic point\(\omega\)-limit setdendritedendroidmonotone mapnon-wandering point

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (1)

On limit sets of monotone maps on regular curves

Cites Work

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• Dynamical properties of monotone dendrite maps
• A triangular map on \(I^2\) whose \(\omega\)-limit sets are all compact intervals of \(\{ 0\}\times I\).
• A characterization of adding machine maps
• On dynamics of triangular maps of the square
• Liapunov stability and adding machines
• DYNAMICS OF MONOTONE GRAPH, DENDRITE AND DENDROID MAPS
• Differential properties and attracting sets of a simplest skew product of interval maps
• Dynamics of skew products of interval maps

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