A note on uniform convergence and transitivity

DOI10.1016/j.chaos.2012.02.007zbMath1263.37023OpenAlexW1975856335MaRDI QIDQ1952543

Risong Li

Publication date: 31 May 2013

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2012.02.007

zbMATH Keywords

uniform convergencetransitivitytopologically transitivesensitivemulti-sensitivetotally transitive

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (10)

Erratum to ``A note on uniform convergence and transitivity ⋮ Three types of distributional chaos for a sequence of uniformly convergent continuous maps ⋮ Induced dynamics in hyperspaces of non-autonomous discrete systems ⋮ Pointwise dynamics under orbital convergence ⋮ Stability theorems in pointwise dynamics ⋮ Sensitivity and Chaoticity on Nonautonomous Dynamical Systems ⋮ Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps ⋮ Furstenberg families and chaos on uniform limit maps ⋮ On stronger forms of sensitivity in non-autonomous systems ⋮ Stronger forms of transitivity and sensitivity for nonautonomous discrete dynamical systems and Furstenberg families

Cites Work

• Uniform convergence and transitivity
• A note on the uniform limit of transitive dynamical systems
• Sensitivity of set-valued discrete systems
• Chaotic properties of mappings on a probability space.
• Weak-mixing implies sensitive dependence
• Uniform convergence and chaotic behavior
• On Devaney's Definition of Chaos
• Sensitive dependence on initial conditions
• Stronger forms of sensitivity for dynamical systems

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