On the equivalence of four chaotic operators

DOI10.1016/j.aml.2011.09.055zbMath1242.37009OpenAlexW2047721478MaRDI QIDQ427668

Xinxing Wu, Pei-Yong Zhu

Publication date: 14 June 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.09.055

zbMATH Keywords

spatio-temporal chaosLi-Yorke chaosLi-Yorke sensitivitybounded operatordistributional chaos in a sequenceirregular vector

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 (14)

Remarks on multiples of distributionally chaotic operators ⋮ Maximal distributional chaos of weighted shift operators on Köthe sequence spaces ⋮ Li-Yorke chaos of backward shift operators on Köthe sequence spaces ⋮ Distributional chaos for operators on Banach spaces ⋮ Devaney chaos and distributional chaos in the solution of certain partial differential equations ⋮ Mean Li-Yorke chaos and mean sensitivity in non-autonomous discrete systems ⋮ On Li-Yorke and distributionally chaotic direct sum operators ⋮ Perturbation of distributionally chaotic operators ⋮ Hypercyclic operators for iterated function systems ⋮ Li–Yorke chaos of translation semigroups ⋮ Invariance of distributional chaos for backward shifts ⋮ CHAOS IN A CLASS OF NONCONSTANT WEIGHTED SHIFT OPERATORS ⋮ CHAOS IN THE WEIGHTED BIEBUTOV SYSTEMS ⋮ Linear Li–Yorke Chaos in a Finite-Dimensional Space with Weak Topology

Cites Work

• Li-Yorke and distributionally chaotic operators
• Irregular vectors of Hilbert space operators
• A linear chaotic quantum harmonic oscillator
• Distributional chaos in a sequence
• Period Three Implies Chaos
• Li–Yorke sensitivity
• Unnamed Item

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