On the iteration of polynomials of degree 4 with real coefficients

DOI10.5186/aasfm.1981.0605zbMath0464.30024OpenAlexW2322349719MaRDI QIDQ3915226

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Publication date: 1981

Published in: Annales Academiae Scientiarum Fennicae Series A I Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.1981.0605

zbMATH Keywords

critical pointsiteration of polynomialscompletely invariant setimmediate attractive setrepulsive and indifferent fixed pointsset of nonnormality

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Normal functions of one complex variable, normal families (30D45) Polynomials and rational functions of one complex variable (30C10)

Related Items (9)

Homi-repair under iteration. I: Removable and jumping cases ⋮ Homi-repair under iteration. II: Oscillating discontinuities and pre-discontinuities ⋮ Discussion on polynomials having polynomial iterative roots ⋮ Iteration and iterative roots of fractional polynomial function ⋮ Discontinuous function with continuous second iterate ⋮ Unnamed Item ⋮ Flatness, plateau limit and limit length of single-plateau functions ⋮ Conjugation of rational functions to power functions and applications to iteration ⋮ Smoothness repaired by iteration

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