Sharkovskiĭ's theorem holds for some discontinuous functions

DOI10.4064/fm179-1-3zbMath1070.26004OpenAlexW2023250515MaRDI QIDQ4811296

Publication date: 19 August 2004

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/fm/Inf/179-1-3.html

zbMATH Keywords

iteration connectivity functions periodic points Sharkovskij's ordering Darboux Baire 1 functions, derivatives itinerary lemma

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Iteration of real functions in one variable (26A18) Dynamical systems involving maps of the interval (37E05) Real-valued functions in general topology (54C30) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (14)

Periodic points of some discontinuous maps ⋮ On ∞-entropy points in real analysis ⋮ STABLE, ALMOST STABLE AND ODD POINTS OF DYNAMICAL SYSTEMS ⋮ Erratum to ``Randomization of Sharkovskii-type theorems ⋮ The standard Sharkovsky cycle coexistence theorem applies to impulsive differential equations: Some notes and beyond ⋮ On Local Aspects of Entropy ⋮ Full analogy of Sharkovsky's theorem for lower semicontinuous maps ⋮ Trajectories, first return limiting notions and rings of H-connected and iteratively H-connected functions ⋮ SHARKOVSKII'S THEOREM FOR CONNECTIVITY G_δ-RELATIONS ⋮ The Sharkovskiĭ Theorem for spaces of measurable functions ⋮ Randomization of Sharkovskii-type theorems ⋮ On the sets of fixed points of bounded Baire one functions ⋮ Continuous functions in rings generated by a single Darboux function ⋮ On dynamics of families of equi-Baire one functions on metric spaces

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