Chebyshev Series Representation of Feigenbaum's Period-Doubling Function

Details Chebyshev Series Representation of Feigenbaum's Period-Doubling Function Chebyshev Series Representation of Feigenbaum's Period-Doubling Function

2010-08-26

arxiv.org/abs/1008.4608v1

Mathematics

Dynamical Systems

16 pages, 1 figure, AMS-LaTex

Scientific paper

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.

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