On genericity of shadowing and periodic shadowing property

DOI10.1016/j.jmaa.2005.01.053zbMath1074.37017OpenAlexW2169376920MaRDI QIDQ2566109

Piotr Kościelniak

Publication date: 22 September 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.01.053

zbMATH Keywords

Topological dynamicsCovering relationsGeneric propertiesPeriodic shadowing

Mathematics Subject Classification ID

Related Items (23)

On the genericity of the shadowing property for conservative homeomorphisms ⋮ On the irregular points for systems with the shadowing property ⋮ On Periodic Shadowing Property ⋮ Chaos and the shadowing property ⋮ Generic properties of \(\mathbb Z^{2}\)-actions on the interval ⋮ On the periodic orbits, shadowing and strong transitivity of continuous flows ⋮ On the genericity of chaos ⋮ Periodic shadowing and \(\Omega \)-stability ⋮ S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps ⋮ On shadowing and chain recurrence in linear dynamics ⋮ Specification and shadowing properties of free semigroup actions ⋮ Periodic shadowing and standard shadowing property ⋮ ON THE DENSITY OF VARIOUS SHADOWING PROPERTIES ⋮ Distributional chaos in multifractal analysis, recurrence and transitivity ⋮ Shadowing is generic -- a continuous map case ⋮ Shadowing is generic on various one-dimensional continua with a special geometric structure ⋮ Shadowing and Chaos ⋮ Genericity of inverse shadowing property ⋮ On specification and measure expansiveness ⋮ s-limit shadowing is \(\mathcal C^0\)-dense ⋮ Diffeomorphisms with \(\mathcal L^{p}\)-shadowing property ⋮ Periodic shadowing in iterated function systems ⋮ Scrambled sets and chain recurrence points of generic graph maps

Cites Work

• Tolerance stability conjecture revisited
• Weak shadowing for discrete dynamical systems on nonsmooth manifolds
• On \(C^0\) genericity of various shadowing properties
• Shadowing is generic
• Covering relations for multidimensional dynamical systems
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Dynamics of topologically generic homeomorphisms
• On proofs of the $C^0$ general density theorem
• Properties of attractors of generic homeomorphisms
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