Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps

DOI10.1016/J.JMAA.2020.124443zbMath1464.37015OpenAlexW3046140706MaRDI QIDQ2226333

Risong Li, Guo Liu, Tianxiu Lu, Guan-Rong Chen

Publication date: 12 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124443

zbMATH Keywords

sensitivitymixingergodictopologically transitiveFurstenberg family

Mathematics Subject Classification ID

Continuous maps (54C05) Ergodicity, mixing, rates of mixing (37A25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02)

Related Items (5)

Three types of distributional chaos for a sequence of uniformly convergent continuous maps ⋮ Mean Li-Yorke chaos and mean sensitivity in non-autonomous discrete systems ⋮ Further discussion about transitivity and mixing of continuous maps on compact metric spaces ⋮ Topological average shadowing property on uniform spaces ⋮ Study on Strong Sensitivity of Systems Satisfying the Large Deviations Theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Erratum to ``A note on uniform convergence and transitivity
• A note on shadowing with chain transitivity
• Devaney's chaos on uniform limit maps
• Uniform convergence and transitivity
• Sub-shadowings
• A note on the uniform limit of transitive dynamical systems
• Chaotic properties of mappings on a probability space.
• Rigidity and sensitivity on uniform spaces
• A note on stronger forms of sensitivity for dynamical systems
• A note on uniform convergence and transitivity
• On the large deviations theorem and ergodicity
• Periodic shadowing sensitivity analysis of chaotic systems
• A note on the sensitivity of semiflows
• Distributional chaoticity of \(C_0\)-semigroup on a Fréchet space
• Individual chaos implies collective chaos for weakly mixing discrete dynamical systems
• Uniform convergence and chaotic behavior
• Various Shadowing in Linear Dynamical Systems
• Topological Ergodic Shadowing and Chaos on Uniform Spaces
• Several sufficient conditions for a map and a semi-flow to be ergodically sensitive
• The Mean Sensitivity and Mean Equicontinuity in Uniform Spaces
• Sensitivity and Transitivity of Systems Satisfying the Large Deviations Theorem in a Sequence
• Stronger forms of sensitivity for dynamical systems

This page was built for publication: Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps