The First Constant
The first Feigenbaum constant is the limiting ratio of each bifurcation interval to the next between every period doubling, of a one-parameter map
where f(x) is a function parametrized by the bifurcation parameter a.
It is given by the limit:
where an are discrete values of a at the nth period doubling.
According to (sequence A006890 in OEIS), this number to 30 decimal places is: δ = 4.669 201 609 102 990 671 853 203 821 578(...).
Read more about this topic: Feigenbaum Constants
Famous quotes containing the word constant:
“Friendship is never established as an understood relation.... It is a miracle which requires constant proofs. It is an exercise of the purest imagination and the rarest faith.”
—Henry David Thoreau (1817–1862)
Related Phrases
Related Words