The \(\alpha \)-limit sets of a unimodal map without homtervals

DOI10.1016/j.topol.2009.04.054zbMath1181.37055OpenAlexW2039531251MaRDI QIDQ1041640

Hongfei Cui, Yiming Ding

Publication date: 3 December 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.054

zbMATH Keywords

renormalizationunimodal maphomterval\(\alpha \)-limit setbi-invariant closed set

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05)

Related Items (7)

\(\alpha\)-limit sets and Lyapunov function for maps with one topological attractor ⋮ Backward Asymptotics in S-Unimodal Maps ⋮ A non-Borel special alpha-limit set in the square ⋮ Shadowing, internal chain transitivity and \(\alpha \)-limit sets ⋮ When is the beginning the end? On full trajectories, limit sets and internal chain transitivity ⋮ On the structure of \(\alpha \)-limit sets of backward trajectories for graph maps ⋮ Thick hyperbolic repelling invariant Cantor sets and wild attractors

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Hyperbolicity, sinks and measure in one dimensional dynamics
• Topics from One-Dimensional Dynamics
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