Exploring the asymptotic average shadowing property

DOI10.1080/10236190802616643zbMath1205.54034OpenAlexW1985495161MaRDI QIDQ3163027

Piotr Oprocha, Marcin Kulczycki

Publication date: 22 October 2010

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190802616643

zbMATH Keywords

topological mixingshadowingspecification propertyhyperbolic homeomorphism

Mathematics Subject Classification ID

Related Items (10)

The asymptotic average shadowing property and strong ergodicity ⋮ Generic points for dynamical systems with average shadowing ⋮ The \(d\)-shadowing property and average shadowing property for iterated function systems ⋮ Several dynamics of dynamical systems with the eventual shadowing property ⋮ On strong ergodicity and chaoticity of systems with the asymptotic average shadowing property ⋮ Multi-sensitivity, syndetical sensitivity and the asymptotic average- shadowing property for continuous semi-flows ⋮ Ergodic properties of systems with asymptotic average shadowing property ⋮ On partial shadowing of complete pseudo-orbits ⋮ The asymptotic average shadowing property of iterated function systems ⋮ A note on ergodicity of systems with the asymptotic average shadowing property

Cites Work

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• Dense orbits on the interval
• Various shadowing properties for positively expansive maps
• The asymptotic average shadowing property and transitivity
• Sets of dynamical systems with various limit shadowing properties
• Varios shadowing properties and their equivalence
• Metric properties of ε-trajectories of dynamical systems with stochastic behaviour
• Specification on the interval
• Limit shadowing property
• Regular periodic decompositions for topologically transitive maps

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