LOGISTIC_MAP

CHAOTIC_SYSTEM_VISUALIZATION // MODULE_03

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SYSTEM_PARAMETERS

r (growth rate) 3.900

x₀ (initial value) 0.500

Iterations 100

x(n+1) = r·x(n)·(1 - x(n))

LIVE_RENDER // D3.JS

DATA_LOG: LOGISTIC_MAP

The logistic map is a polynomial mapping that exhibits very complicated chaotic behavior. It was popularized by Robert May as a simple model for population growth with limited resources. As the parameter r increases, the system transitions from stable to periodic to chaotic behavior.