On distributional \(n\)-chaos

DOI10.1016/S0252-9602(14)60097-7zbMath1324.37007OpenAlexW2014618294MaRDI QIDQ2350440

Heman Fu, Feng Tan

Publication date: 29 June 2015

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(14)60097-7

zbMATH Keywords

distributional chaostransitive systems

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

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On -genericity of distributional chaos ⋮ Distributionally \(n\)-scrambled set for weighted shift operators ⋮ Distributionally \(n\)-chaotic dynamics for linear operators ⋮ On \(n\)-scrambled sets ⋮ Devaney chaos plus shadowing implies distributional chaos ⋮ On \(\lambda\)-power distributional \(n\)-chaos ⋮ Distributional chaos and Li-Yorke chaos in metric spaces ⋮ A type of shadowing and distributional chaos ⋮ Recent development of chaos theory in topological dynamics

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