A unified approach to theories of shadowing

DOI10.1134/S1560354714030046zbMath1342.37026OpenAlexW2137428637MaRDI QIDQ2513972

Marcin Kulczycki

Publication date: 29 January 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354714030046

zbMATH Keywords

Cantor setshadowingaverage shadowinggeneral approximation property

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (3)

On homeomorphisms with the two-sided limit shadowing property ⋮ Unnamed Item ⋮ Shadowing, ergodic shadowing and uniform spaces

Cites Work

• Unnamed Item
• Shadowing in dynamical systems
• Shadowing is generic
• s-limit shadowing is \(\mathcal C^0\)-dense
• The asymptotic average shadowing property and transitivity
• Metric properties of ε-trajectories of dynamical systems with stochastic behaviour
• Diffeomorphisms with thes-limit shadowing property
• Exponential limit shadowing

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