Thickly syndetical sensitivity of topological dynamical system

DOI10.1155/2014/583431zbMath1419.37010OpenAlexW2134814953WikidataQ59039382 ScholiaQ59039382MaRDI QIDQ2321441

Lidong Wang, Li Liao, Heng Liu

Publication date: 23 August 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/583431

Mathematics Subject Classification ID

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 (25)

Sensitivity of iterated function systems under the product operation ⋮ Stronger version sensitivity, almost finite to one extension and maximal pattern entropy ⋮ Sensitivity, Devaney's chaos and Li-Yorke \(\varepsilon \)-chaos ⋮ Devaney chaos and stronger forms of sensitivity on the product of semiflows ⋮ The complexity of an induced system of \(\mathbb{Z}^2\)-actions ⋮ Sensitivity, proximal extension and higher order almost automorphy ⋮ Auslander-Yorke type dichotomy theorems for stronger versions of $r$-sensitivity ⋮ Unnamed Item ⋮ Analogues of Auslander–Yorke theorems for multi-sensitivity ⋮ On stronger forms of sensitivity in non-autonomous systems ⋮ Finite intersection property and dynamical compactness ⋮ Measurable sensitivity via Furstenberg families ⋮ Sensitivity and property \(P\) in non-autonomous systems ⋮ Unnamed Item ⋮ Inducing Sensitivity of Fuzzified Dynamical Systems ⋮ Dynamical compactness and sensitivity ⋮ Sensitivity of iterated function systems ⋮ Unnamed Item ⋮ Time-restricted sensitivity and entropy ⋮ Multi-sensitivity and other stronger forms of sensitivity in non-autonomous discrete systems ⋮ Rendezvous with sensitivity ⋮ Chaotic iterated function systems ⋮ On variants of n-sensitivity in semiflows ⋮ Recent development of chaos theory in topological dynamics ⋮ Syndetically transitive and syndetically sensitive Iterated Function Systems

Cites Work

• Sensitivity and chaos of semigroup actions
• Transitivity, mixing and chaos for a class of set-valued mappings
• Furstenberg families and sensitivity
• Inducing sensitivity on hyperspaces
• Sensitivity of set-valued discrete systems
• Interval maps, factors of maps, and chaos
• On the nature of turbulence
• Note concerning our paper On the nature of turbulence. Commun. math. Phys. 20, 167-192 (1971)
• An explicit scattering, non-weakly mixing example and weak disjointness
• On sensitive sets in topological dynamics
• Rigidity in topological dynamics
• Sensitive dependence on initial conditions
• Li–Yorke sensitivity
• Stronger forms of sensitivity for dynamical systems

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