scientific article; zbMATH DE number 936372

zbMath0861.54034MaRDI QIDQ4895967

Ethan Akin, Joseph Auslander, K. Berg

Publication date: 12 May 1997

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

dynamical systemtopological transitivityequicontinuitysensitiveness

Mathematics Subject Classification ID

Related Items (95)

Limit behaviour of \(\mu\)-equicontinuous cellular automata ⋮ Stroboscopical property in topological dynamics ⋮ Multi-recurrence and van der Waerden systems ⋮ Invariant scrambled sets, uniform rigidity and weak mixing ⋮ On Li-Yorke pairs ⋮ Density-equicontinuity and density-sensitivity ⋮ The asymptotic average shadowing property and transitivity ⋮ Enveloping semigroups in topological dynamics ⋮ Shadowing with chain transitivity ⋮ Rigidity and sensitivity on uniform spaces ⋮ The central limit theorem and chaos ⋮ Devaney’s chaos implies existence of 𝑠-scrambled sets ⋮ Localic transitivity ⋮ The systems with almost Banach-mean equicontinuity for abelian group actions ⋮ Geometry of minimal flows ⋮ A mixing completely scrambled system exists ⋮ What is topological about topological dynamics? ⋮ How chaotic is an almost mean equicontinuous system? ⋮ Distributionally chaotic systems of type 2 and rigidity ⋮ Generic chaos on dendrites ⋮ Transitive abelian nonautonomous dynamical systems ⋮ The large deviations theorem and sensitivity ⋮ A new metric for statistical properties of long time behaviors ⋮ Shadowing, entropy and minimal subsystems ⋮ Unnamed Item ⋮ Sensitivity, Devaney's chaos and Li-Yorke \(\varepsilon \)-chaos ⋮ On topological models of zero entropy loosely Bernoulli systems ⋮ \( \mathscr{F} \)-equicontinuity and an analogue of Auslander-Yorke dichotomy theorem ⋮ A simple proof of a theorem of sensitivity ⋮ Equicontinuity and sensitivity of group actions ⋮ Chaotic behaviour of countable products of homeomorphism groups ⋮ The average-shadowing property and strong ergodicity ⋮ Asymptotically almost periodic points and sensitivity of continuous maps ⋮ When are all closed subsets recurrent? ⋮ Topological entropy of Devaney chaotic maps ⋮ Topological dynamics of nondeterministic cellular automata ⋮ The Mean Sensitivity and Mean Equicontinuity in Uniform Spaces ⋮ A note on shadowing with chain transitivity ⋮ Unnamed Item ⋮ Equicontinuity, shadowing and distality in general topological spaces ⋮ Shadowing property, weak mixing and regular recurrence ⋮ Chaotic behaviour of the map \(x\mapsto\omega(x,f)\) ⋮ When is a dynamical system mean sensitive? ⋮ \(\mathcal F\)-mixing and weak disjointness. ⋮ Measurable sensitivity ⋮ Chaotic actions of topological semigroups ⋮ Unnamed Item ⋮ Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy ⋮ Multi-sensitivity, multi-transitivity and Δ-transitivity ⋮ Mean equicontinuity, complexity and applications ⋮ On metrizable enveloping semigroups ⋮ Sensitivity and regionally proximal relation in minimal systems ⋮ Invariant measures for skew products and uniformly distributed sequences. II ⋮ Analogues of Auslander–Yorke theorems for multi-sensitivity ⋮ Sensitive dependence for nonautonomous discrete dynamical systems ⋮ Equicontinuity, transitivity and sensitivity: the Auslander-Yorke dichotomy revisited ⋮ Finite intersection property and dynamical compactness ⋮ Unnamed Item ⋮ Equicontinuous mappings on finite trees ⋮ Mean equicontinuity and mean sensitivity on cellular automata ⋮ Topological transitivity and mixing notions for group actions ⋮ Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems ⋮ Dynamical properties of a cellular automaton on a countable group ⋮ A note on sensitivity of semigroup actions ⋮ On fixed point theorems and nonsensitivity ⋮ Sensitive dependence on initial conditions and chaotic group actions ⋮ Chaos among self-maps of the Cantor space ⋮ Transitivities of maps of general topological spaces ⋮ Residual properties and almost equicontinuity. ⋮ The structure of equicontinuous maps ⋮ Implications of pseudo-orbit tracing property for continuous maps on compacta ⋮ Devaney chaos, Li-Yorke chaos, and multi-dimensional Li-Yorke chaos for topological dynamics ⋮ Devaney's chaos or 2-scattering implies Li-Yorke's chaos ⋮ Topologically sensitive dynamical systems ⋮ Dynamical compactness and sensitivity ⋮ Answering two open problems on Banks theorem for non-autonomous dynamical systems ⋮ Sensitivity of iterated function systems ⋮ WAP Systems and Labeled Subshifts ⋮ Mean equicontinuity, almost automorphy and regularity ⋮ Chaotic expansive homeomorphisms on closed orientable surfaces of positive genus ⋮ Varieties of mixing ⋮ Variations on the concept of topological transitivity ⋮ Rendezvous with sensitivity ⋮ On the structure of \(\alpha \)-limit sets of backward trajectories for graph maps ⋮ Dichotomy theorem for control sets ⋮ Equicontinuous local dendrite maps ⋮ On Li-Yorke measurable sensitivity ⋮ Chaotic iterated function systems ⋮ On indecomposability in chaotic attractors ⋮ A note on double minimality ⋮ A characterization of 𝜇-equicontinuity for topological dynamical systems ⋮ Devaney's chaotic on induced maps of hyperspace ⋮ Recent development of chaos theory in topological dynamics ⋮ Epsilon-equicontinuous points and epsilon-shadowable points ⋮ Equicontinuity and sensitivity in mean forms

This page was built for publication: