Devaney's chaos on uniform limit maps

DOI10.1016/J.CHAOS.2011.05.006zbMath1225.37047OpenAlexW2053588343MaRDI QIDQ634929

Kesong Yan, Fan Ping Zeng, Geng-Rong Zhang

Publication date: 17 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2011.05.006

zbMATH Keywords

transitivitysensitive dependence on initial conditionsDevaney's chaosuniform convergence of continuous maps

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05)

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 ⋮ Pointwise dynamics under orbital convergence ⋮ Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps ⋮ Furstenberg families and chaos on uniform limit maps ⋮ Unnamed Item ⋮ Transitivity in nonautonomous systems generated by a uniformly convergent sequence of maps ⋮ Stronger forms of transitivity and sensitivity for nonautonomous discrete dynamical systems and Furstenberg families ⋮ Uniform convergence and transitive subsets ⋮ On Attractor and Pseudo Orbit Tracing of Uniform Limit Dynamical Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Uniform convergence and transitivity
• Linear chaos and approximation
• Uniform convergence and chaotic behavior
• On Devaney's Definition of Chaos
• Nonlinear elliptic boundary-value problems in unbounded domains
• Sensitive dependence on initial conditions
• On Intervals, Transitivity = Choas

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