Shadowing and structural stability for operators

DOI10.1017/etds.2019.107zbMath1489.47011arXiv1902.04386OpenAlexW2999581501WikidataQ114119536 ScholiaQ114119536MaRDI QIDQ4964763

Nilson C. jun. Bernardes, Ali Messaoudi

Publication date: 3 March 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04386

zbMATH Keywords

structural stabilityhyperbolicitylinear operatorsshadowingexpansivity

Mathematics Subject Classification ID

Topological dynamics (37B99) Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Hyperbolicity, shadowing, and bounded orbits ⋮ Shift-like operators on \(L^p(X)\) ⋮ Expansivity and strong structural stability for composition operators on \(L^p\) spaces ⋮ Entropy, pressure, ground states and calibrated sub-actions for linear dynamics ⋮ A generalized Grobman-Hartman theorem for nonautonomous dynamics ⋮ Linear dynamics induced by odometers ⋮ Chain recurrence and average shadowing in dynamics ⋮ A topological shadowing theorem ⋮ Hyperbolicity, shadowing, and convergent operators ⋮ On shadowing and chain recurrence in linear dynamics ⋮ Chain recurrence and positive shadowing in linear dynamics ⋮ Two problems on weighted shifts in linear dynamics ⋮ Shadowing and stability in \(p\)-adic dynamics ⋮ Generalized hyperbolicity and shadowing in \(L^p\) spaces ⋮ Invariant probabilities for discrete time linear dynamics via thermodynamic formalism ^*

Cites Work

• Linear chaos
• \(\omega\)-limit sets for axiom A diffeomorphisms
• Expansivity and shadowing in linear dynamics
• Shadowing in dynamical systems
• Mean Li-Yorke chaos in Banach spaces
• Distributional chaos for linear operators
• On a theorem of Anosov
• Expansive automorphisms of Banach spaces
• Expansive automorphisms of Banach spaces. II
• The specification property for backward shifts
• Li–Yorke chaos in linear dynamics
• An Introduction to Banach Space Theory
• Topologically mixing hypercyclic operators
• Hypercyclic and chaotic weighted shifts
• Hypercyclic Weighted Shifts
• Difference sets and frequently hypercyclic weighted shifts
• A Lemma in the Theory of Structural Stability of Differential Equations
• On a Theorem of P. Hartman
• Differentiable dynamical systems
• GIBBS MEASURES IN ERGODIC THEORY
• Topological conjugacy and structural stability for discrete dynamical systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item