LORENZ_ATTRACTOR

CHAOTIC_SYSTEM_VISUALIZATION // MODULE_01

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PRESETS

σ (sigma) 10.00

ρ (rho) 28.00

β (beta) 2.67

INITIAL_STATE

x₀ y₀ z₀ ε

Show Perturbed Orbit

SIMULATION

Speed 1.0x

TRAIL_LENGTH

Points 15,000

VIEW_MODE

Auto rotate

Rotation 0.5x

Zoom 1.0x

▸ ADVANCED

NUMERICAL_SOLVER Solver

dt 0.005

Iterations/frame 5

dx/dt = σ(y - x)

dy/dt = x(ρ - z) - y

dz/dt = xy - βz

CHAOS_INDICATOR λ₁: +0.00 Periodic / Quasi-periodic

LIVE_RENDER // THREE_JS

LIVE_RENDER

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.

LORENZ_ATTRACTOR

SAVE_CONFIGURATION

SHARE_CONFIGURATION

LORENZ_ATTRACTOR

SYSTEM_PARAMETERS ▾

DATA_LOG: LORENZ_SYSTEM ▾