Hypercyclic, mixing, and chaoticC0-semigroups induced by semiflows
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Publication:5424920
DOI10.1017/S0143385707000144zbMath1134.37006OpenAlexW2040298758MaRDI QIDQ5424920
Publication date: 7 November 2007
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385707000144
Groups and semigroups of linear operators (47D03) 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 (26)
Linear dynamics of semigroups generated by differential operators ⋮ Topological transitivity and mixing of composition operators ⋮ Hypercyclicity and mixing for cosine operator functions generated by second order partial differential operators ⋮ Dynamical properties of weighted composition operators on the space of smooth functions ⋮ Disjoint Li-Yorke chaos in Fr\'echet spaces ⋮ Characterizations of the \(d \mathcal{F} \)-transitive and \(\mathcal{F} \)-transitive families of composition operators on \(L^p\)-spaces ⋮ Frequently hypercyclic translation semigroups ⋮ Recurrence and topological entropy of translation operators ⋮ The \({\mathcal{F}}\)-transitivity and recurrence of translation semigroups on complex sectors ⋮ On transitive and chaotic dynamics of linear semiflows ⋮ Dynamics of the heat semigroup on symmetric spaces ⋮ Topologically transitive semigroup actions of real linear fractional transformations ⋮ Li–Yorke chaos of translation semigroups ⋮ Hypercyclic semigroups generated by Ornstein-Uhlenbeck operators ⋮ Chaotic \(C_0\)-semigroups induced by semiflows in Lebesgue and Sobolev spaces ⋮ A simple characterization of chaos for weighted composition $C_0$-semigroups on Lebesgue and Sobolev spaces ⋮ Stability for weighted composition \(C_0\)-semigroups on Lebesgue and Sobolev spaces ⋮ Dynamics of weighted translations on Orlicz spaces ⋮ Dynamical properties of weighted translation operators on the Schwartz space \(\mathcal{S}(\mathbb{R})\) ⋮ Linear dynamics of discrete cosine functions on solid Banach function spaces ⋮ Chaotic translations on weighted Orlicz spaces ⋮ Hypercyclic $C_0$-semigroups and evolution families generated by first order differential operators ⋮ Unnamed Item ⋮ Dynamics of weighted composition operators on function spaces defined by local properties ⋮ \(f\)-frequently hypercyclic \(C_0\)-semigroups on complex sectors ⋮ Unnamed Item
Cites Work
- Operators with dense, invariant, cyclic vector manifolds
- Stability versus chaos for a partial differential equation
- Universal families and hypercyclic operators
- Hypercyclic and chaotic semigroups of linear operators
- Supercyclic and chaotic translation semigroups
- Hypercyclic Weighted Shifts
- On the existence of chaotic and hypercyclic semigroups on Banach spaces
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