Non-single-valley solutions for \(p\)-order Feigenbaum's type functional equation \(f(\varphi(x)) = \varphi^p(f(x))\)

DOI10.1155/2014/731863zbMath1474.39076OpenAlexW1577381283WikidataQ59041033 ScholiaQ59041033MaRDI QIDQ1724846

Min Zhang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/731863

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• The general exact bijective continuous solution of Feigenbaum's functional equation
• The universal metric properties of nonlinear transformations
• Fixed points of Feigenbaum's type for the equation \(f^ p(\lambda x)\equiv \lambda f(x)\)
• On the existence of Feigenbaum's fixed point
• A complete proof of the Feigenbaum conjectures
• Quantitative universality for a class of nonlinear transformations
• On the dynamics of polynomial-like mappings
• A computer-assisted proof of the Feigenbaum conjectures
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