Chain recurrence and average shadowing in dynamics
DOI10.1007/s00605-021-01617-6zbMath1489.37026OpenAlexW3198044262MaRDI QIDQ2665274
Nilson C. jun. Bernardes, Fabricio F. Alves, Ali Messaoudi
Publication date: 18 November 2021
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-021-01617-6
linear operatorsweighted shiftspseudotrajectorieschain recurrenceshadowing propertiesspherical linear transformations
Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)
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Cites Work
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- Linear chaos
- Li-Yorke and distributionally chaotic operators
- Shadowing with chain transitivity
- Entropy, linearity and chain-recurrence
- Expansivity and shadowing in linear dynamics
- Shadowing in dynamical systems
- \(\mathbb C\)-supercyclic versus \({\mathbb R}^+\)-supercyclic operators
- Mean Li-Yorke chaos in Banach spaces
- On homeomorphisms with the two-sided limit shadowing property
- Li-Yorke chaos for composition operators on \(L^p\)-spaces
- Chain transitive homeomorphisms on a space: all or none
- Distributional chaos for linear operators
- Expansive automorphisms of Banach spaces. II
- Li–Yorke chaos in linear dynamics
- On various definitions of shadowing with average error in tracing
- Deterministic Properties of Stochastically Perturbed Dynamic Systems
- Metric properties of ε-trajectories of dynamical systems with stochastic behaviour
- Some examples of stochastically stable homeomorphisms
- The gradient structure of a flow: I
- Topologically mixing hypercyclic operators
- Hypercyclic and chaotic weighted shifts
- Hypercyclic Weighted Shifts
- Supercyclicity and weighted shifts
- Shadowing and structural stability for operators
- Average Shadowing Property and Asymptotic Average Shadowing Property of Linear Dynamical Systems
- A generalized Grobman-Hartman theorem
- Varieties of mixing
- Difference sets and frequently hypercyclic weighted shifts
- On almost specification and average shadowing properties
- Chain transitivity, attractivity, and strong repellors for semidynamical systems
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