Characterizing mixing, weak mixing and transitivity of induced hyperspace dynamical systems

DOI10.1016/j.topol.2007.09.003zbMath1131.54024OpenAlexW2014737503MaRDI QIDQ2463867

Guo Wei, Yangeng Wang

Publication date: 6 December 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.09.003

zbMATH Keywords

hit-or-miss topologyhyperspace dynamical systemtopological (c-)mixingtopological (c-)transitivitytopological (c-)weak mixing

Mathematics Subject Classification ID

Related Items (15)

Weak stability of non-autonomous discrete dynamical systems ⋮ A framework of induced hyperspace dynamical systems equipped with the hit-or-miss topology ⋮ Characterizing ergodicity of induced hyperspace dynamical systems ⋮ Set-valued chaos in linear dynamics ⋮ Martelli's chaos in inverse limit dynamical systems and hyperspace dynamical systems ⋮ Dynamic to Quotients of Hyperspaces ⋮ Dynamic properties for the induced maps on n-fold symmetric product suspensions ⋮ F-sensitivity and (F_1, F_2)-sensitivity between dynamical systems and their induced hyperspace dynamical systems ⋮ Dynamical systems over the space of upper semicontinuous fuzzy sets ⋮ The Hausdorff fuzzy quasi-metric ⋮ Sensitive dependence on initial conditions between dynamical systems and their induced hyperspace dynamical systems ⋮ On local aspects of sensitivity in topological dynamics ⋮ The transitivity of induced maps ⋮ On local aspects of topological transitivity and weak mixing in set-valued discrete systems ⋮ \(\mathcal{F}\)-sensitivity and multi-sensitivity of hyperspatial dynamical systems

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