On the Feigenbaum's functional equation \(f^ p(\lambda x)=\lambda f(x)\)

zbMath0805.39009MaRDI QIDQ1327010

Gongfu Liao

Publication date: 7 July 1994

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

Feigenbaum's functional equationeven unimodal \(C^ 1\) solutionsingle-valley solutions

Mathematics Subject Classification ID

Topological dynamics (37B99) Iteration theory, iterative and composite equations (39B12)

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3-adic system and chaos ⋮ Smooth solutions for the p-order functional equation f ( φ ( x ) ) = φ p ( f ( x ) )

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