Geodesic
Continued fractions and solutions of the Feigenbaum–Cvitanović equation
[Fractions continues et des solutions de l'équation de Feigenbaum–Cvitanović]
Tsygvintsev, Alexei V.1 ; Mestel, Ben D.2 ; Osbaldestin, Andrew H.1
1 Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU, UK
2 School of Mathematical Sciences, University of Exeter, Exeter, EX4 4QE, UK
Comptes Rendus. Mathématique, Tome 334 (2002) no. 8, pp. 683-688

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In this paper, we develop a new approach to the construction of solutions of the Feigenbaum–Cvitanović equation whose existence was shown by H. Epstein. Our main tool is the analytic theory of continued fractions.

Dans ce travail, nous énonçons une nouvelle méthode de construction des solutions de l'équation de Feigenbaum–Cvitanović dont l'existence a été montrée par H. Epstein. On utilise la théorie analytique des fractions continues.

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DOI : 10.1016/S1631-073X(02)02330-0

Tsygvintsev, Alexei V. 1 ; Mestel, Ben D. 2 ; Osbaldestin, Andrew H. 1

1 Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU, UK
2 School of Mathematical Sciences, University of Exeter, Exeter, EX4 4QE, UK 
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     title = {Continued fractions and solutions of the {Feigenbaum{\textendash}Cvitanovi\'c} equation},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {683--688},
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Tsygvintsev, Alexei V.; Mestel, Ben D.; Osbaldestin, Andrew H. Continued fractions and solutions of the Feigenbaum–Cvitanović equation. Comptes Rendus. Mathématique, Tome 334 (2002) no. 8, pp. 683-688. doi: 10.1016/S1631-073X(02)02330-0

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