On the entropy of Darboux functions

DOI10.4064/cm116-2-7zbMath1232.37010OpenAlexW1974938590MaRDI QIDQ3631961

Ryszard Jerzy Pawlak

Publication date: 22 June 2009

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm116-2-7

zbMATH Keywords

Darboux functionperiodic pointtopological entropyalmost continuityalmost fixed pointturbulent function\({\mathcal T}\)-approximation\(m\)-horseshoe

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Topological entropy (37B40) Iteration of real functions in one variable (26A18) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items (11)

Dynamics of interval maps generated by erasing substitutions ⋮ The critical exponent functions ⋮ On some subclasses of the family of Darboux Baire 1 functions ⋮ On ∞-entropy points in real analysis ⋮ The simplest erasing substitution ⋮ The generalized entropy in the generalized topological spaces ⋮ Generic \(\delta\)-chaos for erasing interval maps ⋮ Mixing properties of erasing interval maps ⋮ Distortion of Dynamical Systems in the Context of Focusing the Chaos Around the Point ⋮ Trajectories, first return limiting notions and rings of H-connected and iteratively H-connected functions ⋮ On the topological entropy of continuous and almost continuous functions

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