Topological entropy of induced circle maps on hyperspaces

DOI10.1016/J.TOPOL.2023.108460OpenAlexW4320913723MaRDI QIDQ2689799

SongHun Ri, Hyonhui Ju, Cholsan Kim

Publication date: 14 March 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108460

zbMATH Keywords

hyperspacetopological entropy\(\omega\)-limit setcircle mapset-valued extension

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Topological entropy (37B40) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

• Unnamed Item
• On the topological entropy on the space of fuzzy numbers
• On fuzzifications of discrete dynamical systems
• Devaney's chaotic on induced maps of hyperspace
• Topological entropy for set valued maps
• Sensitive dependence on initial conditions between dynamical systems and their induced hyperspace dynamical systems
• The transitivity of induced maps
• Sensitivity of set-valued discrete systems
• Dynamics in one dimension
• A note on transitivity in set-valued discrete systems.
• Dynamics and topological entropy for Zadeh's extension of a compact system
• Chaos for induced hyperspace maps
• Topological entropy and chaos for maps induced on hyperspaces
• The structure of graph maps without periodic points

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