What sets can be \(\omega\)-limit sets in \(E^ n\)?

zbMath0799.26012MaRDI QIDQ1189080

Jack G. Ceder, S. J. Agronsky

Publication date: 26 September 1992

Published in: Real Analysis Exchange (Search for Journal in Brave)

zbMATH Keywords

iteration\(\omega\)-limit setlow dimensional continuatotally disconnected sets

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Continuity and differentiation questions (26B05) Iteration of real functions in one variable (26A18)

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A splitting result on transitivity for a class of \(n\)-dimensional maps ⋮ Chain transitive homeomorphisms on a space: all or none ⋮ Monotone Maps on Dendrites ⋮ Nonexpansive homeomorphisms ⋮ The dynamics of coupled logistic maps ⋮ Structure of dendrites admitting an existence of an arc horseshoe ⋮ On \(\omega\)-limit sets of antitriangular maps. ⋮ On the structure of transitive \(\omega\)-limit sets for continuous maps ⋮ Omega-limit sets in hereditarily locally connected continua ⋮ On totally periodic \(\omega\)-limit sets in regular continua ⋮ A characterization of the \(\omega\)-limit sets of planar continuous dynamical systems ⋮ Applying Circulant Matrices Properties to Synchronization Problems

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