Rigorous computation of topological entropy with respect to a finite partition

DOI10.1016/S0167-2789(01)00216-0zbMath1028.37012WikidataQ59139595 ScholiaQ59139595MaRDI QIDQ5940279

Gary Froyland, Gunter Ochs, Oliver Junge

Publication date: 15 January 2004

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

subshift of finite typetopological entropyright-resolving presentationsofic shifttopological Markov chain

Mathematics Subject Classification ID

Related Items (9)

Numerical approximation of the data-rate limit for state estimation under communication constraints ⋮ Estimates of topological entropy of continuous maps with applications ⋮ Using heteroclinic orbits to quantify topological entropy in fluid flows ⋮ Finite-time braiding exponents ⋮ Defining chaos ⋮ Topological \(r\)-entropy and measure-theoretic \(r\)-entropy of a continuous map ⋮ On Topological Entropy of Finite Representations of the Hénon Map ⋮ A Subgradient Algorithm for Data-Rate Optimization in the Remote State Estimation Problem ⋮ Numerical over-approximation of invariance entropy via finite abstractions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An improved algorithm for computing topological entropy
• Computing the topological entropy of maps
• Computing the topological entropy of maps of the interval with three monotone pieces
• Calculating topological entropy
• A subdivision algorithm for the computation of unstable manifolds and global attractors
• On the estimation of topological entropy
• On the topology of the Henon map
• Entropy of piecewise monotone mappings
• An Introduction to Symbolic Dynamics and Coding
• Periodic Points and Measures for Axiom a Diffeomorphisms
• Entropy for Group Endomorphisms and Homogeneous Spaces
• Computing the Topological Entropy of General One-Dimensional Maps

This page was built for publication: Rigorous computation of topological entropy with respect to a finite partition