Distributionally \(n\)-scrambled set for weighted shift operators

DOI10.1007/s10883-017-9359-6OpenAlexW2573665616MaRDI QIDQ2410707

Zongbin Yin, Qi-Gui Yang

Publication date: 18 October 2017

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-017-9359-6

zbMATH Keywords

invarianceweighted shiftdistributional chaosdistributional \(n\)-scrambled set

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Symbolic dynamics (37B10) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Existence of chaotic oscillations in second-order linear hyperbolic PDEs with implicit boundary conditions, Chaotic oscillations of a linear hyperbolic PDE with a general nonlinear boundary condition, Li-Yorke 𝑛-chaos and distributional 𝑛-chaos in Banach spaces, Li-Yorke chaos in weak topology of the \(n\)-dimensional linear systems, Distributionally \(n\)-chaotic dynamics for linear operators, On \(n\)-scrambled sets, Nonisotropic chaotic oscillations of the wave equation due to the interaction of mixing transport term and superlinear boundary condition, Mean Li-Yorke chaos in Banach spaces, Chaotic oscillations of linear hyperbolic PDE with variable coefficients and implicit boundary conditions, Dynamics of Operator-Weighted Shifts, Chaos of multi-dimensional linear hyperbolic PDEs

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