The order structure of forts iterated by quadratic polynomials

DOI10.1007/s00010-022-00875-5zbMath1501.39010OpenAlexW4226120323MaRDI QIDQ2142574

Zhiheng Yu, Lili Yang

Publication date: 27 May 2022

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

Full work available at URL: https://doi.org/10.1007/s00010-022-00875-5

zbMATH Keywords

treeasymmetryiterationquadratic polynomialpartial orderforts

Mathematics Subject Classification ID

Partial orders, general (06A06) Trees (05C05) Iteration theory, iterative and composite equations (39B12) Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical systems involving maps of trees and graphs (37E25)

Cites Work

• Non-monotonic iterative roots extended from characteristic intervals
• Iterative roots of piecewise monotonic functions of nonmonotonicity height not less than 2
• A complete discrimination system for polynomials
• Wild attractors of polymodal negative Schwarzian maps
• Forts of quadratic polynomials under iteration
• Recent advances on determining the number of real roots of parametric polynomials
• When is f(f(z)) = az 2 + bz + c?
• PM functions, their characteristic intervals and iterative roots
• Measure of minimal sets of polymodal maps
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