Asymptotically almost periodic points and sensitivity of continuous maps
DOI10.1016/j.jmaa.2023.128057OpenAlexW4390047457MaRDI QIDQ6150500
Jie Hua Mai, Kesong Yan, Fan Ping Zeng
Publication date: 8 February 2024
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.2023.128057
sensitivity\(\omega\)-limit setcontinuous mapallured setasymptotically almost periodic pointuniformly segment-recurrent point
Stability of topological dynamical systems (37B25) Continuous maps (54C05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) 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) Dynamics in general topological spaces (37B02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Several transitive properties and Devaney's chaos
- Sensitivity and regionally proximal relation in minimal systems
- On maps with dense orbits and the definition of chaos
- Dynamics on sensitive and equicontinuous functions
- Topologically sensitive dynamical systems
- Finite intersection property and dynamical compactness
- Stronger versions of sensitivity for minimal group actions
- On \(n\)-tuplewise IP-sensitivity and thick sensitivity
- Almost periodic points and minimal sets in \(\omega\)-regular spaces
- Chaos in a topologically transitive system
- A simple proof of a theorem of sensitivity
- Sensitive dependence on initial conditions and chaotic group actions
- On Devaney's Definition of Chaos
- Scrambled sets of continuous maps of 1-dimensional polyhedra
- Sensitive dependence on initial conditions
- Li–Yorke sensitivity
- Sensitivity, proximal extension and higher order almost automorphy
- Analogues of Auslander–Yorke theorems for multi-sensitivity
- Stronger forms of sensitivity for dynamical systems
- Dynamical compactness and sensitivity
This page was built for publication: Asymptotically almost periodic points and sensitivity of continuous maps
