Characterizations of Turbulent One-Dimensional Mappings Via ω-Limit Sets

DOI10.2307/2001864zbMath0745.26002OpenAlexW4253069455MaRDI QIDQ3979972

Richard J. O'Malley, Michael J. Evans, Cheng Ming Lee, Paul D. Humke

Publication date: 26 June 1992

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001864

zbMATH Keywords

\(\omega\)-limit setstrajectorylimit pointschaotic functionsturbulent functionsunilaterally convergent sequence

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Iteration of real functions in one variable (26A18)

Related Items (9)

The \(\omega\)-limit set of a graph map ⋮ ω-LIMIT SETS CONTAINING AN INFINITE MINIMAL SET ⋮ On the invariance of Li–Yorke chaos of interval maps ⋮ Limit sets for maps of the circle ⋮ On solenoidal distribution of infinite ω-limit sets ⋮ Dynamic Parrondo's paradox ⋮ Multi-separation, centrifugality and centripetality imply chaos ⋮ A note on what make them all turbulent ⋮ A ``universal dynamical system generated by a continuous map of the interval

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