A topological classification for piecewise monotone iterative roots

DOI10.1007/s00010-016-0457-4zbMath1361.39010OpenAlexW2566574489MaRDI QIDQ509621

Lin Li

Publication date: 17 February 2017

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

Full work available at URL: https://doi.org/10.1007/s00010-016-0457-4

zbMATH Keywords

conjugacyiterative rootnonmonotonicity heighttopological classificationpiecewise monotone 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 (4)

A classification of non-monotonicity height for piecewise monotone functions. I: Increasing case ⋮ \(C^0\) conjugacy between PM functions with nonmonotonicity height equal to 1 ⋮ Topological conjugacy of PM functions with height equaling ∞ ⋮ On non-monotonicity height of piecewise monotone functions

Cites Work

• A constructive proof of the existence of a semi-conjugacy for a one dimensional map
• 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
• On uniqueness of conjugacy of continuous and piecewise monotone functions
• Non-monotonic solutions and continuously differentiable solutions of conjugacy equations
• Iterative roots of piecewise monotonic functions with finite nonmonotonicity height
• PM functions, their characteristic intervals and iterative roots
• Topological Conjugacy and Transitivity for a Class of Piecewise Monotone Maps of the Interval
• Topics from One-Dimensional Dynamics
• On conjugacy ofr-modal interval maps with non-monotonicity height equal to 1
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