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The Feigenbaum constants arise in the theory of iteration of real functions.We calculate here to high precision the constants a and S associated with period-doubling bifurcations for maps with a single maximum of order z , for 2 < z < 12. Multiple-precision floating-point techniques are used to find a solution of Feigenbaum's functional equation, and hence the constants.
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Keith Briggs (1991) studied this question.
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