Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chebyshev Series Representation of Feigenbaum's Period-Doubling Function   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.

21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ