\(M\)-systems and scattering systems of semigroup actions

DOI10.1007/s00233-015-9736-yzbMath1357.37015OpenAlexW836855512MaRDI QIDQ906983

Huoyun Wang, Human Fu, Zhijing Chen

Publication date: 1 February 2016

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-015-9736-y

zbMATH Keywords

piecewise syndetic setsemigroup action\(M\)-systemsscattering systems

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (15)

Dynamics on sensitive and equicontinuous functions ⋮ Sensitivity, Devaney's chaos and Li-Yorke \(\varepsilon \)-chaos ⋮ Equicontinuity and sensitivity on countable amenable semigroup ⋮ Unnamed Item ⋮ Chaotic dynamics of minimal center of attraction of discrete amenable group actions ⋮ Unnamed Item ⋮ Multi-transitivity and \(\Delta\)-transitivity for semigroup actions ⋮ Weak mixing in switched systems ⋮ Devaney chaos, Li-Yorke chaos, and multi-dimensional Li-Yorke chaos for topological dynamics ⋮ Unnamed Item ⋮ Classification of transitive group actions ⋮ Force recurrence of semigroup actions ⋮ Multi-transitivity of semigroup actions ⋮ On variants of n-sensitivity in semiflows ⋮ Syndetically transitive and syndetically sensitive Iterated Function Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sensitivity and chaos of semigroup actions
• Attractors and chain recurrence for semigroup actions
• Transitive points via Furstenberg family
• Algebra in the Stone-Čech compactification: theory and applications
• Classifying dynamical systems by their recurrence properties
• A note on sensitivity of semigroup actions
• Chaos in a topologically transitive system
• The topological dynamics of semigroup actions
• An explicit scattering, non-weakly mixing example and weak disjointness
• Point transitivity, -transitivity and multi-minimality
• On sensitive sets in topological dynamics
• On Devaney's Definition of Chaos
• Sensitive dependence on initial conditions
• Topological complexity
• Dynamical systems disjoint from any minimal system
• Residual properties and almost equicontinuity.

This page was built for publication: \(M\)-systems and scattering systems of semigroup actions