Chebyshev Series Representation of Feigenbaum's Period-Doubling Function
Dynamical Systems
2010-08-30 v1
Abstract
The Feigenbaum-Cvitanovic equation -lambda * g(x)= g(g(lambda * x)) is solved over the interval 0 <= x <= 1 with a Chebyshev series representation of g(x). Accurate expansion coefficients are tabulated for solutions g(x) = 1+O(x^z) with even exponents from z=2 up to z=14.
Cite
@article{arxiv.1008.4608,
title = {Chebyshev Series Representation of Feigenbaum's Period-Doubling Function},
author = {Richard J. Mathar},
journal= {arXiv preprint arXiv:1008.4608},
year = {2010}
}
Comments
16 pages, 1 figure, AMS-LaTex