Rigidity and sensitivity on uniform spaces
From MaRDI portal
Publication:1632750
DOI10.1016/j.topol.2018.11.014zbMath1407.54024OpenAlexW2902342264MaRDI QIDQ1632750
Yang Luo, Tianxiu Lu, Xinxing Wu, Xin Ma
Publication date: 17 December 2018
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2018.11.014
Hyperspaces in general topology (54B20) Uniform structures and generalizations (54E15) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
Related Items
Specification properties on uniform spaces ⋮ Characterizing ergodicity of induced hyperspace dynamical systems ⋮ Dynamical property of hyperspace on uniform space ⋮ Li-Yorke and Devaney chaotic uniform dynamical systems amongst weighted shifts ⋮ Topological entropy of nonautonomous dynamical systems on uniform spaces ⋮ Strong chain transitivity via uniformity ⋮ The Mean Sensitivity and Mean Equicontinuity in Uniform Spaces ⋮ Shifts, rotations and distributional chaos ⋮ Sensitivity and Chaoticity on Nonautonomous Dynamical Systems ⋮ A note on topological average shadowing property via uniformity ⋮ Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps ⋮ Topological chain and shadowing properties of dynamical systems on uniform spaces ⋮ Equicontinuity, transitivity and sensitivity: the Auslander-Yorke dichotomy revisited ⋮ Unnamed Item ⋮ On the iteration invariance of distributional chaos of type \(2\frac{1}{2}\) in non-autonomous discrete system ⋮ Sensitivity and Transitivity of Systems Satisfying the Large Deviations Theorem in a Sequence ⋮ Topological average shadowing property on uniform spaces ⋮ A note on the sensitivity of semiflows ⋮ Average Shadowing Property and Asymptotic Average Shadowing Property of Linear Dynamical Systems ⋮ Dynamics of Operator-Weighted Shifts ⋮ Sensitivity and chaos on product and on hyperspatial semiflows ⋮ Relationship among several types of sensitivity in general semi-flows ⋮ Distributional chaoticity of \(C_0\)-semigroup on a Fréchet space ⋮ Sensitivity of Nonautonomous Dynamical Systems on Uniform Spaces ⋮ Topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Specification property for topological spaces
- Sensitivity and Devaney's chaos in uniform spaces
- A note on sensitivity in uniform spaces
- Interval maps, factors of maps, and chaos
- On maps with dense orbits and the definition of chaos
- The chain properties and average shadowing property of iterated function systems
- What is topological about topological dynamics?
- Devaney's and Li-Yorke's chaos in uniform spaces
- The large deviations theorem and ergodic sensitivity
- Sensitivity and transitivity of fuzzified dynamical systems
- \(\mathcal{F}\)-sensitivity and multi-sensitivity of hyperspatial dynamical systems
- On averaged tracing of periodic average pseudo orbits
- Chaotic actions of topological semigroups
- Kato's chaos in set-valued discrete systems
- The large deviations theorem and ergodicity
- Chaos of Transformations Induced Onto the Space of Probability Measures
- On various definitions of shadowing with average error in tracing
- On sensitive sets in topological dynamics
- Rigidity in topological dynamics
- On Devaney's Definition of Chaos
- Period Three Implies Chaos
- Sensitive dependence on initial conditions
- On the Entropy Points and Shadowing in Uniform Spaces
- Topological Dynamics of Zadeh’s Extension on Upper Semi-Continuous Fuzzy Sets
- Topological Ergodic Shadowing and Chaos on Uniform Spaces
- Shadowing, ergodic shadowing and uniform spaces
- Furstenberg families, sensitivity and the space of probability measures
- A Remark on Topological Sequence Entropy
- Stronger forms of sensitivity for dynamical systems
- Mean equicontinuity and mean sensitivity
- Topologies on Spaces of Subsets
- Orbit-closure decompositions and almost periodic properties
- Devaney's chaos or 2-scattering implies Li-Yorke's chaos
