LORENZ_ATTRACTOR
CHAOTIC_SYSTEM_VISUALIZATION // MODULE_01
SYSTEM_PARAMETERS
PRESETS
10.00
28.00
2.67
INITIAL_STATE
SIMULATION
TRAIL_LENGTH
Points 15,000
COLOR_MODE
VIEW_MODE
āø ADVANCED
NUMERICAL_SOLVER
dx/dt = Ļ(y - x)
dy/dt = x(Ļ - z) - y
dz/dt = xy - Ī²z
CHAOS_INDICATOR Ī»ā: +0.00 Periodic / Quasi-periodic
LIVE_RENDER // THREE_JS
LIVE_RENDER
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.