Embedding of expansive dynamical systems into symbolic dynamical systems.

DOI10.1016/S0034-4877(01)80003-3zbMath1049.37006OpenAlexW2077367747MaRDI QIDQ5942364

Shigeo Akashi

Publication date: 29 August 2001

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(01)80003-3

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 ⋮ Positively subexpansive dynamical systems ⋮ Embeddings into symbolic dynamical systems ⋮ Conditions ensuring that hyperspace dynamical systems contain subsystems topologically (semi-)conjugate to symbolic dynamical systems ⋮ Embedding of topological dynamical systems into symbolic dynamical systems: a necessary and sufficient condition ⋮ Embedding of nonlinear dynamical systems with compact and totally disconnected domains into the product symbolic dynamical systems ⋮ A note on chaos and the shadowing property

Cites Work

• Unnamed Item
• Some aspects of quantum information theory and their applications to irreversible processes
• Some fundamental properties of continuous functions and topological entropy
• Bernoulli shifts with the same entropy are isomorphic
• Expansive one-parameter flows
• Real-expansive flows and topological dimension
• Topological Entropy

This page was built for publication: Embedding of expansive dynamical systems into symbolic dynamical systems.