On Li-Yorke and distributionally chaotic direct sum operators

DOI10.1016/j.topol.2018.02.012zbMath1393.37011OpenAlexW2792076032MaRDI QIDQ1709050

Yu Huang, Zongbin Yin, Shengnan He

Publication date: 27 March 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2018.02.012

zbMATH Keywords

Li-Yorke chaosdistributional chaosdirect sum operator

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Disjoint Li-Yorke chaos in Fr\'echet spaces ⋮ Disjoint distributional chaos in Fréchet spaces ⋮ Cowen-Douglas function and its application on chaos ⋮ Mean Li-Yorke chaos and mean sensitivity in non-autonomous discrete systems ⋮ Reiterative \(m_n\)-distributional chaos of type \(s\) in Fréchet spaces ⋮ Perturbation of distributionally chaotic operators ⋮ Reiterative distributional chaos in non-autonomous discrete systems ⋮ Dynamics of Operator-Weighted Shifts ⋮ Distributional chaoticity of \(C_0\)-semigroup on a Fréchet space ⋮ Investigating Distributional Chaos for Operators on Fréchet Spaces

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