This is the bifurcation diagram of the logistic map
xn+1 = r · xn · (1 − xn).
The horizontal axis is the growth parameter r; the vertical axis is the long-term value of x.
As r increases, stable fixed points give way to period doubling and then chaos—
the classic cascade discovered by Robert May and analysed by Mitchell Feigenbaum.
Dense bands are chaotic attractors; gaps are periodic windows.
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Accumulation builds detail over successive frames in high-precision arithmetic.