Generic distributional chaos and principal measure in linear dynamics
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Publication:2836006
DOI10.4064/ap3908-9-2016zbMath1448.47019OpenAlexW2550706928MaRDI QIDQ2836006
Publication date: 30 November 2016
Published in: Annales Polonici Mathematici (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/ap3908-9-2016
One-parameter semigroups and linear evolution equations (47D06) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Locally convex Fréchet spaces and (DF)-spaces (46A04) Cyclic vectors, hypercyclic and chaotic operators (47A16)
Related Items (11)
Remarks on multiples of distributionally chaotic operators ⋮ 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 ⋮ Recurrence and topological entropy of translation operators ⋮ On Li-Yorke and distributionally chaotic direct sum operators ⋮ 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 ⋮ Chaos of multi-dimensional linear hyperbolic PDEs
Cites Work
- Unnamed Item
- Unnamed Item
- Distributionally chaotic families of operators on Fréchet spaces
- Chaos for the hyperbolic bioheat equation
- A problem on the structure of Fréchet spaces
- Linear chaos
- Li-Yorke and distributionally chaotic operators
- Operators with dense, invariant, cyclic vector manifolds
- Operators with the specification property
- Devaney chaos and distributional chaos in the solution of certain partial differential equations
- Distributional chaos for strongly continuous semigroups of operators
- Distributional chaos for the forward and backward control traffic model
- Distributional chaos for linear operators
- CHAOS IN THE WEIGHTED BIEBUTOV SYSTEMS
- Distributionally chaotic translation semigroups
- Maximal distributional chaos of weighted shift operators on Köthe sequence spaces
- Li–Yorke chaos in linear dynamics
- Frequently hypercyclic translation semigroups
- The principal measure of a quantum harmonic oscillator
- On various definitions of shadowing with average error in tracing
- Distributional chaos revisited
- A quantum harmonic oscillator and strong chaos
- Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
- Difference sets and frequently hypercyclic weighted shifts
- Invariance of chaos from backward shift on the Köthe sequence space
- Distributionally Scrambled Set for an Annihilation Operator
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