A Precise Calculation of the Feigenbaum Constants
Keith Briggs · Mathematics of Computation · 1991
The Feigenbaum constants arise in the theory of iteration of real functions. We calculate here to high precision the constants $\alpha$ and $\delta$ associated with period-doubling bifurcations for maps with a single maximum of order z, for $2 \leq z \leq 12$. Multiple-precision floating-point techniques are used to find a solution of Feigenbaum’s functional equation, and hence the constants.