Devaney chaos, Li-Yorke chaos, and multi-dimensional Li-Yorke chaos for topological dynamics
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Publication:1785929
DOI10.1016/j.jde.2017.06.021zbMath1405.37014arXiv1706.06342OpenAlexW2703540441MaRDI QIDQ1785929
Publication date: 2 October 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.06342
Semigroups of transformations, relations, partitions, etc. (20M20) 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)
Related Items (18)
On sensitive sets and regionally proximal sets of group actions ⋮ Sensitivity, Devaney's chaos and Li-Yorke \(\varepsilon \)-chaos ⋮ Recurrence and topological entropy of translation operators ⋮ Chaos and weak mixing on uniform spaces ⋮ Li-Yorke and Devaney chaotic uniform dynamical systems amongst weighted shifts ⋮ Continuous semi-flows with the almost average shadowing property ⋮ Various recurrence and topologically sensitive for semiflows ⋮ On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics ⋮ The \({\mathcal{F}}\)-transitivity and recurrence of translation semigroups on complex sectors ⋮ On transitive and chaotic dynamics of linear semiflows ⋮ A note on sensitivity in uniform spaces ⋮ Chaotic dynamics of minimal center of attraction of discrete amenable group actions ⋮ Li-Yorke chaos for ultragraph shift spaces ⋮ On Galvin's theorem for compact Hausdorff right-topological semigroups with dense topological centers ⋮ Shadowing, finite order shifts and ultrametric spaces ⋮ Ultragraph shift spaces and chaos ⋮ Unnamed Item ⋮ On the transitivity and sensitivity of group actions
Cites Work
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- On uniformly recurrent motions of topological semigroup actions
- Recent development of chaos theory in topological dynamics
- Sensitivity and Devaney's chaos in uniform spaces
- Combinatorial independence and sofic entropy
- Sensitivity and chaos of semigroup actions
- On Galvin's theorem for compact Hausdorff right-topological semigroups with dense topological centers
- \(M\)-systems and scattering systems of semigroup actions
- Interval maps, factors of maps, and chaos
- Proximal flows
- Devaney's and Li-Yorke's chaos in uniform spaces
- Devaney chaos revisited
- Chaotic dynamics of continuous-time topological semi-flows on Polish spaces
- Equicontinuity, uniform almost periodicity, and regionally proximal relation for topological semiflows
- Li-Yorke sensitivity for semigroup actions
- Chaotic actions of topological semigroups
- A note on sensitivity of semigroup actions
- On chaotic minimal center of attraction of a Lagrange stable motion for topological semi flows
- The topological dynamics of semigroup actions
- Homeomorphisms with the whole compacta being scrambled sets
- Chaotic behavior of group actions
- Sufficient conditions under which a transitive system is chaotic
- Hereditarily non-sensitive dynamical systems and linear representations
- On sensitive sets in topological dynamics
- Sensitive dependence on initial conditions and chaotic group actions
- On Devaney's Definition of Chaos
- Applications of the Baire-category method to the problem of independent sets
- Period Three Implies Chaos
- Scrambled sets of continuous maps of 1-dimensional polyhedra
- Sensitive dependence on initial conditions
- Product Recurrence and Distal Points
- Li–Yorke sensitivity
- Devaney’s chaos implies existence of 𝑠-scrambled sets
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
- Point-Distal Flows
- Devaney's chaos or 2-scattering implies Li-Yorke's chaos
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