Definition:Feigenbaum Constants/Second
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Definition
The secondFeigenbaum constant $\alpha$ 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 $\alpha$ when the ratio between the lower subtine and the width of the tine is measured.
Its approximate value is given by:
- $\alpha \approx 2 \cdotp 50290 \, 78750 \, 95892 \, 82228 \, 39028 \, 73218 \, 21578 \cdots$
This sequence is A006891 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Also known as
The second Feigenbaum constant is also referred to as merely the Feigenbaum reduction parameter.
Also see
Source of Name
This entry was named for Mitchell Jay Feigenbaum.