Differentiable solutions of the Feigenbaum-Kadanoff-Shenker equation

DOI10.3934/dcdsb.2020113zbMath1465.39013OpenAlexW3013122495MaRDI QIDQ2026567

Yong-guo Shi

Publication date: 20 May 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020113

zbMATH Keywords

infinite productcontinuously differentiable solutionFeigenbaum-Kadanoff-Shenker equationiterative construction method

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Dynamical systems involving maps of the circle (37E10) Iteration theory, iterative and composite equations (39B12) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

Single-valley-extended solutions with platforms of FKS equation ⋮ Multi-modal-extended solutions of FKS equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relationships between the solutions of Feigenbaum's equation
• The universal metric properties of nonlinear transformations
• Functional equations for circle homeomorphisms with golden ratio rotation number
• On the existence of fixed points of the composition operator for circle maps
• On constructing complete solution classes of the Cvitanović-Feigenbaum equation
• On the existence of Feigenbaum's fixed point
• Relationships between eigenfunctions associated with solutions of Feigenbaum's equation
• Quantitative universality for a class of nonlinear transformations
• A piecewise linear solution of Feigenbaum's equation
• On the functional equation $φ^n(x)=g(x)$
• A computer-assisted proof of the Feigenbaum conjectures
• Analytic Solutions of the Cvitanović–Feigenbaum and Feigenbaum–Kadanoff–Shenker Equations

This page was built for publication: Differentiable solutions of the Feigenbaum-Kadanoff-Shenker equation