LOGISTIC_BIFURCATION
CHAOTIC_SYSTEM_VISUALIZATION // MODULE_04
SYSTEM_PARAMETERS
3.500
4.000
1000
x(n+1) = rยทx(n)ยท(1 - x(n))
LIVE_RENDER // CANVAS_2D
LIVE_RENDER
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.