Devaney's chaotic on induced maps of hyperspace

DOI10.1016/j.chaos.2005.03.053zbMath1083.54026OpenAlexW2001743931MaRDI QIDQ813763

Xin-He Liu, Fan Ping Zeng, Geng-Rong Zhang

Publication date: 13 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.03.053

Mathematics Subject Classification ID

Topological dynamics (37B99) Hyperspaces in general topology (54B20)

Related Items (14)

Mixing properties of set-valued maps on hyperspaces via Furstenberg families ⋮ Characterizing ergodicity of induced hyperspace dynamical systems ⋮ Topological entropy of the extended tree map on the space of fuzzy numbers ⋮ Periodic points and transitivity on dendrites ⋮ Topological entropy of induced circle maps on hyperspaces ⋮ On Devaney chaotic induced fuzzy and set-valued dynamical systems ⋮ F-sensitivity and (F_1, F_2)-sensitivity between dynamical systems and their induced hyperspace dynamical systems ⋮ Characterizing mixing, weak mixing and transitivity of induced hyperspace dynamical systems ⋮ Topological entropy for set valued maps ⋮ Sensitive dependence on initial conditions between dynamical systems and their induced hyperspace dynamical systems ⋮ Topological entropy and chaos for maps induced on hyperspaces ⋮ The transitivity of induced maps ⋮ Chaos on hyperspaces ⋮ CHAOS ON HYPERSPACE

Cites Work

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• Dynamics in one dimension
• A note on transitivity in set-valued discrete systems.
• On chaotic set-valued discrete dynamical systems
• Transitivity and the centre for maps of the circle
• On Devaney's Definition of Chaos
• Sensitive dependence on initial conditions
• On Intervals, Transitivity = Choas
• Devaney’s chaos implies existence of 𝑠-scrambled sets

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