Conjugacy between piecewise monotonic functions and their iterative roots

DOI10.1007/S11425-015-5065-6zbMath1338.39032OpenAlexW2253915122MaRDI QIDQ283055

Lin Li, WenMeng Zhang

Publication date: 13 May 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-015-5065-6

zbMATH Keywords

iterative rootconjugacy equationnon-monotonicity heightpiecewise monotonic function

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18) Dynamical systems involving maps of the interval (37E05)

Related Items (3)

Recent Developments in the Translation Equation and Its Stability ⋮ Genetics of iterative roots for PM functions ⋮ A topological classification of interval mappings with finitely many discontinuous points

Cites Work

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• Topological conjugacy of piecewise monotonic functions of nonmonotonicity height \(\geq 1\)
• Non-monotonic iterative roots extended from characteristic intervals
• Iterative roots of piecewise monotonic functions of nonmonotonicity height not less than 2
• Non-monotonic solutions and continuously differentiable solutions of conjugacy equations
• Julia-Fatou-Sullivan theory for real one-dimensional dynamics
• Reversibility of interval homeomorphisms without fixed points
• Reversible interval homeomorphisms
• A note on iterative roots of PM functions
• PM functions, their characteristic intervals and iterative roots
• On conjugacy ofr-modal interval maps with non-monotonicity height equal to 1

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