Feigenbaum's second constant

The second Feigenbaum constant or Feigenbaum's alpha constant (sequence A006891 in the OEIS),

\alpha =2.502\,907\,875\,095\,892\,822\,283\,902\,873\,218...,

is the ratio between the width of a tine and the width of one of its two subtines (except the tine closest to the fold). A negative sign is applied to $α$ when the ratio between the lower subtine and the width of the tine is measured.^[1]

These numbers apply to a large class of dynamical systems (for example, dripping faucets to population growth).^[1]

A simple rational approximation is ⁠13/11⁠ × ⁠17/11⁠ × ⁠37/27⁠ = ⁠8177/3267⁠.

References

^ ^a ^b Strogatz, Steven H. (1994). Nonlinear Dynamics and Chaos. Studies in Nonlinearity. Perseus Books. ISBN 978-0-7382-0453-6.

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[NonlinearDynamics-1] Strogatz, Steven H. (1994). Nonlinear Dynamics and Chaos. Studies in Nonlinearity. Perseus Books. ISBN 978-0-7382-0453-6.

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