Embedding of topological dynamical systems into symbolic dynamical systems: a necessary and sufficient condition

DOI10.1016/S0034-4877(06)80032-7zbMath1136.37008MaRDI QIDQ2480645

Guo Wei, Yangeng Wang

Publication date: 3 April 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

symbolic dynamics\(\varepsilon\)-expansive mappingembeddable topological dynamical system

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

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 ⋮ Positively subexpansive dynamical systems ⋮ Conditions ensuring that hyperspace dynamical systems contain subsystems topologically (semi-)conjugate to symbolic dynamical systems ⋮ On metrization of the hit-or-miss topology using Alexandroff compactification ⋮ Topological entropy of continuous functions on topological spaces ⋮ Sensitive dependence on initial conditions between dynamical systems and their induced hyperspace dynamical systems

Cites Work

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• Differentiable dynamical systems
• Embedding of expansive dynamical systems into symbolic dynamical systems.

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