Continued fractions and solutions of the Feigenbaum-Cvitanović equation

DOI10.1016/S1631-073X(02)02330-0zbMath1154.39303OpenAlexW1978960493WikidataQ30052138 ScholiaQ30052138MaRDI QIDQ1600215

Andrew H. Osbaldestin, Alexei Tsygvintsev, Ben D. Mestel

Publication date: 12 June 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02330-0

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Continued fractions; complex-analytic aspects (30B70) Dynamical systems involving maps of the interval (37E05)

Related Items

Bounded analytic maps, wall fractions and ABC-flow ⋮ Continued \(g\)-fractions and geometry of bounded analytic maps ⋮ \(C^{\infty}\)-solutions for the second type of generalized Feigenbaum's functional equations ⋮ Unnamed Item ⋮ Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling ⋮ Construction of convex solutions for the second type of Feigenbaum's functional equations

Cites Work

• New proofs of the existence of the Feigenbaum functions
• Analyticity properties of the Feigenbaum function
• Unnamed Item
• Unnamed Item
• Unnamed Item