Shadowing Property for Inverse Limit Spaces

DOI10.2307/2159281zbMath0762.58017OpenAlexW4248970646MaRDI QIDQ3993796

Liang Chen, Shihai Li

Publication date: 13 August 1992

Full work available at URL: https://doi.org/10.2307/2159281

zbMATH Keywords

shadowing propertyshift mappseudoarcinverse limit space

Mathematics Subject Classification ID

Topological dynamics (37B99) Iteration of real functions in one variable (26A18)

Related Items (23)

The equivalent condition of \(G\)-asymptotic tracking property and \(G\)-Lipschitz tracking property ⋮ On the notion of fuzzy shadowing property ⋮ The conditional variational principle for maps with the pseudo-orbit tracing property ⋮ Periodic number for Anosov maps ⋮ On the irregular points for systems with the shadowing property ⋮ Pointwise dynamics under orbital convergence ⋮ Recurrence and the asymptotic pseudo-orbit tracing property ⋮ Relations of the almost average shadowing property with ergodicity and proximality ⋮ The growth of periodic orbits with large support ⋮ Stability theorems in pointwise dynamics ⋮ APOTP for the inverse limit spaces ⋮ Bi-asymptotic \(c\)-expansivity ⋮ The Mean Sensitivity and Mean Equicontinuity in Uniform Spaces ⋮ Shadowing property, weak mixing and regular recurrence ⋮ Shadowing, asymptotic shadowing and s-limit shadowing ⋮ \(\mathcal{F}\)-mixing property and \((\mathcal{F}_1,\mathcal{F}_2)\)-everywhere chaos of inverse limit dynamical systems ⋮ Shadowing, Entropy and Minimal Sets ⋮ Shadowing, entropy and a homeomorphism of the pseudoarc ⋮ Topological stability of a sequence of maps on a compact metric space ⋮ The \(G\)-asymptotic tracking property and \(G\)-asymptotic average tracking property in the inverse limit spaces under group action ⋮ A note on stronger forms of sensitivity for inverse limit dynamical systems ⋮ Preservation of shadowing in discrete dynamical systems ⋮ Scrambled sets and chain recurrence points of generic graph maps

Cites Work

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• The pseudo orbit tracing properties on the space of probability measures
• Hyperbolicity and chain recurrence
• The pseudo-arc as an inverse limit with one binding map
• One-dimensional non-wandering sets
• Pseudo-Orbit Shadowing in the Family of Tent Maps
• Metric properties of ε-trajectories of dynamical systems with stochastic behaviour
• Linking and the Shadowing Property for Piecewise Monotone Maps
• Shadowing Property of Continuous Maps
• Pseudo-Orbits and Topological Entropy
• Rotation shadowing properties of circle and annulus maps

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