Periodic points and transitivity on dendrites

DOI10.1017/etds.2015.137zbMath1380.37087arXiv1312.7426OpenAlexW3098020511MaRDI QIDQ4600269

Piotr Oprocha, Issam Naghmouchi, Rodrigo Hernández-Gutiérrez, Gerardo G. Acosta

Publication date: 8 January 2018

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7426

zbMATH Keywords

topological graphalmost meshed continuaterminal periodic decomposition

Mathematics Subject Classification ID

Related Items (6)

Localic transitivity ⋮ Generic chaos on dendrites ⋮ Ramified continua as global attractors of C ¹ -smooth self-maps of a cylinder close to skew products ⋮ Transitive dendrite map with zero entropy ⋮ On conjugacy of natural extensions of one-dimensional maps ⋮ Transitive dendrite map with infinite decomposition ideal

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness of hyperspaces for Peano continua
• On the existence of maximal \(\omega \)-limit sets for dendrite maps
• Devaney's chaotic on induced maps of hyperspace
• Dynamics in one dimension
• A splitting theorem for transitive maps
• Chaos for induced hyperspace maps
• \(\overline R= R \cup \overline P\) for graph maps
• Recurrent and periodic points in dendritic Julia sets
• Minimality, transitivity, mixing and topological entropy on spaces with a free interval
• Topological structure and entropy of mixing graph maps
• Hierarchies of chaotic maps on continua
• A note on transitivity, sensitivity and chaos for graph maps
• $\overline{R} = \overline{P}$ FOR MAPS OF DENDRITES X WITH Card(End(X)) < c
• Topological chaos: what may this mean?
• _ P &nbsp; = _ R &nbsp; for Maps of the Interval
• On Devaney's Definition of Chaos
• Sensitive dependence on initial conditions
• Regular periodic decompositions for topologically transitive maps
• Li–Yorke sensitivity
• On the connection between entropy and transitivity for one-dimensional mappings
• A note on periodic points and recurrent points of maps of dendrites
• Chaos, Periodicity, and Snakelike Continua
• Spaces of ω-limit sets of graph maps
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Entropy estimates for transitive maps on trees

This page was built for publication: Periodic points and transitivity on dendrites