Progress of iteration theory since 1981

DOI10.1007/BF01831113zbMath0860.39029OpenAlexW4211071348MaRDI QIDQ1897768

György Targonski

Publication date: 28 April 1997

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

Full work available at URL: https://eudml.org/doc/137620

zbMATH Keywords

numerical methodscellular automatafractal setsiteration theoryexperimental mathematicscomplex iterationorbit theoryiteration sequencesAczél-Jabotinsky equationsalgebraic iteration theorygroups and semigroups of iteratesiteration of formal power seriesphantom iteratesPilgerschritt transformation

Mathematics Subject Classification ID

Related Items (15)

On a functional equation involving iterates and powers ⋮ Iterative roots of type \(\mathcal{T}_2\) ⋮ Existence of iterative roots for the sickle-like functions ⋮ Continuity of iteration and approximation of iterative roots ⋮ Iterative roots of multidimensional operators and applications to dynamical systems ⋮ The non-iterates are dense in the space of continuous self-maps ⋮ Iterative square roots of functions ⋮ Iterative roots of PM functions extended from the characteristic interval ⋮ Iterative roots of upper semicontinuous multifunctions ⋮ Open question on lower order iterative roots for PM functions ⋮ Iterative roots of piecewise monotonic functions of nonmonotonicity height not less than 2 ⋮ Iteration Theory: Dynamical Systems and Functional Equations ⋮ On the Smallest Set-Valued Iterative Roots of Bijections ⋮ Recent results on iteration theory: iteration groups and semigroups in the real case ⋮ Certain density theorems applied to the embeddability of iteration semigroups

Cites Work

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