LOGISTIC_BIFURCATION

CHAOTIC_SYSTEM_VISUALIZATION // MODULE_04

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SYSTEM_PARAMETERS

r min 3.500

r max 4.000

Iterations 1000

x(n+1) = r·x(n)·(1 - x(n))

LIVE_RENDER // CANVAS_2D

DATA_LOG: BIFURCATION_ANALYSIS

The bifurcation diagram shows the long-term behavior of the logistic map for different values of the growth parameter r. As r increases, the system undergoes a series of period-doubling bifurcations, eventually leading to chaos. The famous Feigenbaum constant appears in the spacing of these bifurcations.