What is topological about topological dynamics?
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Publication:1660988
DOI10.3934/dcds.2018043zbMath1406.54021OpenAlexW2781102744MaRDI QIDQ1660988
Chris Good, Sergio Macías-Alvarez
Publication date: 16 August 2018
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2018043
recurrent pointuniform chainuniform internal chain transitivityuniform pseudo-orbituniform shadowing
Hyperspaces in general topology (54B20) Symbolic dynamics (37B10) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
Related Items (27)
Rigidity and sensitivity on uniform spaces ⋮ On the nonchaotic nature of monotone dynamical systems ⋮ Sensitivity, Devaney's chaos and Li-Yorke \(\varepsilon \)-chaos ⋮ Shifts of finite type as fundamental objects in the theory of shadowing ⋮ Multi-sensitivity with respect to a vector for semiflows defined on Hausdorff uniform spaces ⋮ Equicontinuity and sensitivity of group actions ⋮ Topological stability and pseudo-orbit tracing property of Borel measures from the viewpoint of open covers ⋮ Chaos and weak mixing on uniform spaces ⋮ Shadowing, transitivity and a variation of omega-chaos ⋮ Sensitivity and unpredictability in semiflows on topological spaces ⋮ Strong chain transitivity via uniformity ⋮ Equicontinuity, shadowing and distality in general topological spaces ⋮ A note on topological average shadowing property via uniformity ⋮ Unnamed Item ⋮ Topological chain and shadowing properties of dynamical systems on uniform spaces ⋮ Equicontinuity, transitivity and sensitivity: the Auslander-Yorke dichotomy revisited ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Topological average shadowing property on uniform spaces ⋮ Expansive actions with specification on uniform spaces, topological entropy, and the Myhill property ⋮ Preservation of shadowing in discrete dynamical systems ⋮ Stronger forms of sensitivity in the dynamical system of abelian semigroup actions ⋮ Sensitivity and chaos on product and on hyperspatial semiflows ⋮ Orbital shadowing, \(\omega\)-limit sets and minimality ⋮ New definitions of Devaney's chaos ⋮ Transitivity and sensitivity of semigroup actions on uniform spaces
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