On Zhang-Yang's open question about iterative roots of PM functions of height 1. I: Increasing case

DOI10.1016/j.jmaa.2023.127405zbMath1525.39018MaRDI QIDQ6111123

Liu Liu, Lin Li, Siyi Zhao, Wei Nian Zhang

Publication date: 6 July 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

extensioniterative rootcharacteristic intervalPM function

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Dynamical systems involving maps of the interval (37E05)

Cites Work

• Koenigs embedding flow problem with global \(C^{1}\) smoothness
• Non-monotonic iterative roots extended from characteristic intervals
• Iterative roots of piecewise monotonic functions of nonmonotonicity height not less than 2
• Finding iterative roots with a spiking neural network
• Critical point theory and Hamiltonian systems
• The question on characteristic endpoints for iterative roots of PM functions
• Embeddings of diffeomorphisms of the plane in regular iteration semigroups
• A note on iterative roots of PM functions
• The Embedding of Homeomorphisms in Flows
• The Set of all Iterates is Nowhere Dense in C([ 0, 1 , [ 0, 1 ])]
• PM functions, their characteristic intervals and iterative roots
• Decreasing case on characteristic endpoints question for iterative roots of PM functions
• Normal Forms and Unfoldings for Local Dynamical Systems
• Elements of applied bifurcation theory
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