Continued fractions and solutions of the Feigenbaum-Cvitanovic equation

Mestel, B.D.; Osbaldestin, Andrew H.; Tsygvintsev, Alexei V.

02-04.pdf (98.79 kB)

Continued fractions and solutions of the Feigenbaum-Cvitanovic equation

preprint

posted on 2005-08-22, 15:53 authored by B.D. Mestel, Andrew H. Osbaldestin, Alexei V. Tsygvintsev

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

History

School

Science

Department

Mathematical Sciences

Pages

101158 bytes

Publication date

2002

Notes

This pre-print has been submitted, and accepted, to the journal, Comptes rendus mathematique [© Elsevier]. The definitive version [in French]: TSYGVINTSEV, A.V., MESTEL, B.D. and OSBALDESTIN, A.H., 2002. Continued fractions and solutions of the Feigenbaum-Cvitanovic equation. Comptes Rendus Mathematique, 334(8), pp.683-68, is available at: http://www.sciencedirect.com/science/journal/1631073X.