The Feigenbaum constants are right up there with the big ones but it was only after watching a Numberphile video that I understood the significance of the delta 𝛅 constant. Here is the video that I watched:
It's easier to see with a specific example of f(x), an old friend from Chaos Theory namely ax(1-x) and a table of values for a:
I created a spreadsheet in Google Sheets to illustrate the bifurcation process. Below is an example of the first bifurcation when a=3.3:
Below is an example of the second bifurcation, taken when a=3.5:
And so on it goes.
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