LORENZ_ATTRACTOR
CHAOTIC_SYSTEM_VISUALIZATION // MODULE_01
SYSTEM_PARAMETERS
10.00
28.00
2.67
dx/dt = σ(y - x)
dy/dt = x(ρ - z) - y
dz/dt = xy - βz
LIVE_RENDER // THREE.JS
DATA_LOG: LORENZ_SYSTEM
The Lorenz attractor is a set of chaotic solutions to the Lorenz system. It is notable for its butterfly shape and for demonstrating sensitive dependence on initial conditions - a hallmark of chaos theory. This system, originally derived from simplified equations for convection rolls arising in the equations of the atmosphere, exhibits strange attractor behavior.