Feigenbaum's second constant

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

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

  1. ^ 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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