Invariant Sets for Monotone Local Dendrite Maps

DOI10.1142/S0218127416501509zbMath1347.37051OpenAlexW2517745410MaRDI QIDQ2827025

Hafedh Abdelli, Habib Marzougui

Publication date: 12 October 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127416501509

zbMATH Keywords

graphhyperspaceHausdorff metric\(\omega\)-limit setdendritemonotone maplocal dendriterecurrent

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Invariant manifold theory for dynamical systems (37D10) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (9)

Nonwandering points of monotone local dendrite maps revisited ⋮ Recurrence and nonwandering sets of local dendrite maps ⋮ Dynamics of monotone maps on regular curves ⋮ Nonwandering sets and special \(\alpha\)-limit sets of monotone maps on regular curves ⋮ Equicontinuity of maps on local dendrites ⋮ On limit sets of monotone maps on regular curves ⋮ Möbius disjointness conjecture for local dendrite maps ⋮ The depths and the attracting centres for continuous maps on local dendrites with the number of branch points being finite ⋮ Equicontinuous local dendrite maps

Cites Work

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• Monotone maps on dendrites and their induced maps
• Dynamical properties of monotone dendrite maps
• \(\omega\)-limit sets for monotone local dendrite maps
• Dynamics in one dimension
• Relatively pointwise recurrent graph map
• $\overline{R} = \overline{P}$ FOR MAPS OF DENDRITES X WITH Card(End(X)) < c
• On Li-Yorke pairs
• DYNAMICS OF MONOTONE GRAPH, DENDRITE AND DENDROID MAPS

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