CHAOS_ESTHETIQUE

CHAOTIC_SYSTEM_VISUALIZATION // MODULE_08

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SYSTEM_PARAMETERS

a 0.9000

b 0.9999

x₀ 18.00

y₀ 0.00

Iterations 10000

x(n+1) = y(n) + a·x(n) + 2(1-a)·x(n)² / (1+x(n)²)

y(n+1) = -b·x(n) + f(x(n+1))

LIVE_RENDER // D3.JS COMPUTE: IDLE

DATA_LOG: CHAOS_ESTHETIQUE

This is a custom aesthetic chaos system that generates beautiful patterns through iterative transformations. The function f(x) creates a nonlinear mapping, and the coupled equations produce intricate attractors. The system is highly sensitive to parameters a and b, displaying a wide variety of behaviors from stable orbits to chaotic attractors.