Chebyshev Series Representation of Feigenbaum's Period-Doubling Function
arXiv:1008.4608
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.
16 pages, 1 figure, AMS-LaTex