Fractions continues et des solutions de l'équation de Feigenbaum-Cvitanoví

Alexei V. Tsygvintsev; Ben D. Mestel; Andrew H. Osbaldestin

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

Fractions continues et des solutions de l'équation de Feigenbaum-Cvitanoví

Translated title of the contribution: Continued fractions and solutions of the Feigenbaum-Cvitanović equation

Alexei V. Tsygvintsev^*, Ben D. Mestel, Andrew H. Osbaldestin

^*Corresponding author for this work

School of Mathematics & Physics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Translated title of the contribution	Continued fractions and solutions of the Feigenbaum-Cvitanović equation
Original language	French
Pages (from-to)	683-688
Number of pages	6
Journal	Comptes Rendus Mathématique
Volume	334
Issue number	8
DOIs	https://doi.org/10.1016/S1631-073X(02)02330-0
Publication status	Published - 30 Apr 2002

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title = "Fractions continues et des solutions de l'{\'e}quation de Feigenbaum-Cvitanov{\'i}",

abstract = "In this paper, we develop a new approach to the construction of solutions of the Feigenbaum-Cvitanovi{\'c} equation whose existence was shown by H. Epstein. Our main tool is the analytic theory of continued fractions.",

author = "Tsygvintsev, {Alexei V.} and Mestel, {Ben D.} and Osbaldestin, {Andrew H.}",

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AU - Tsygvintsev, Alexei V.

AU - Mestel, Ben D.

AU - Osbaldestin, Andrew H.

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Y1 - 2002/4/30

N2 - 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.

AB - 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.

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U2 - 10.1016/S1631-073X(02)02330-0

DO - 10.1016/S1631-073X(02)02330-0

M3 - Article

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JF - Comptes Rendus Mathématique

IS - 8

ER -

Fractions continues et des solutions de l'équation de Feigenbaum-Cvitanoví

Abstract

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