The logistic map x → r·x·(1−x) undergoes period-doubling cascades. The ratio of successive bifurcation intervals converges to δ ≈ 4.6692…
Feigenbaum constant
δ ≈ 4.66920 | Drag to zoom |
First bifurcation r₁
≈ 3.0000, second r₂
≈ 3.4495, third r₃
≈ 3.5441
Showing r ∈ [2.5, 4.0]