Conditions ensuring that hyperspace dynamical systems contain subsystems topologically (semi-)conjugate to symbolic dynamical systems

DOI10.1016/J.CHAOS.2006.06.032zbMath1135.54025OpenAlexW2034444983MaRDI QIDQ2470578

Guo Wei, Yangeng Wang

Publication date: 14 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.06.032

zbMATH Keywords

topological dynamicsfull shift

Mathematics Subject Classification ID

Symbolic dynamics (37B10)

Related Items (8)

The entropy of co-compact open covers ⋮ The product symbolic dynamical systems ⋮ A framework of induced hyperspace dynamical systems equipped with the hit-or-miss topology ⋮ Conditions for topologically semi-conjugacy of the induced systems to the subshift of finite type ⋮ Characterizing mixing, weak mixing and transitivity of induced hyperspace dynamical systems ⋮ Dynamical systems over the space of upper semicontinuous fuzzy sets ⋮ Sensitive dependence on initial conditions between dynamical systems and their induced hyperspace dynamical systems ⋮ Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type

Cites Work

• Embedding of topological dynamical systems into symbolic dynamical systems: a necessary and sufficient condition
• Differentiable dynamical systems
• Embedding of expansive dynamical systems into symbolic dynamical systems.
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