On shadowing and chain recurrence in linear dynamics
DOI10.1016/j.aim.2024.109539arXiv2305.02714MaRDI QIDQ6200733
Nilson C. jun. Bernardes, Alfred Peris Manguillot
Publication date: 25 March 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.02714
Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)
Cites Work
- Recurrent linear operators
- Periodic shadowing and \(\Omega \)-stability
- Linear chaos
- \(\omega\)-limit sets for axiom A diffeomorphisms
- Recurrence and topological entropy of translation operators
- Expansivity and shadowing in linear dynamics
- Shadowing in dynamical systems
- Mean Li-Yorke chaos in Banach spaces
- Shadowing, finite order shifts and ultrametric spaces
- Dynamics of generalized hyperbolic linear operators
- Frequently recurrent operators
- Recurrence properties for linear dynamical systems: an approach via invariant measures
- Recurrence of multiples of composition operators on weighted Dirichlet spaces
- Chain recurrence and positive shadowing in linear dynamics
- Distributional chaos for linear operators
- On genericity of shadowing and periodic shadowing property
- Chain recurrence and average shadowing in dynamics
- Linear chaos and frequent hypercyclicity
- The gradient structure of a flow: I
- Topologically mixing hypercyclic operators
- Hypercyclic and chaotic weighted shifts
- Hypercyclic Weighted Shifts
- CHAOS FOR BACKWARD SHIFT OPERATORS
- Shadowing and structural stability for operators
- Average Shadowing Property and Asymptotic Average Shadowing Property of Linear Dynamical Systems
- Linear dynamical systems on Hilbert spaces: typical properties and explicit examples
- A generalized Grobman-Hartman theorem
- Difference sets and frequently hypercyclic weighted shifts
- GIBBS MEASURES IN ERGODIC THEORY
- Multiple recurrence and hypercyclicity
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