Bifurcation Diagram

Logistic Map: xn+1 = r * xn * (1 - xn) - Period-Doubling Route to Chaos

Parameter r -> Range: [2.4000, 4.0000]
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Selected Parameter
0 r = 3.5000 4
Period
8
Behavior
Period-8 cycle
Time Series & Cobweb
Key Bifurcation Points
Feigenbaum Constants: delta ~ 4.6692... (ratio of successive bifurcation intervals) | alpha ~ 2.5029... (ratio of successive tine widths) | Self-similarity: Zoom into any chaotic region to observe fractal structure and periodic windows. | Sad Little University