Lorenz attractor — Lorenz attractor simulation

Four points integrate the Lorenz system (σ=10, ρ=28, β=8/3) — the butterfly attractor. Cursor pulls the integration target; click reseeds.

How it works

Four points integrate the Lorenz system (σ=10, ρ=28, β=8/3) — the butterfly. Forward Euler, 4 substeps per frame; trail color graded by z.

Cursor pulls the integration target through phase space. Click reseeds.

Related simulations

• Chladni plateSand on a vibrating plate. Cursor x and y set the (n,m) mode; particles step along the gradient until they cluster on the nodal lines.
• Slime moldPhysarum agents sense, turn, step, deposit; the trail map diffuses and decays each frame. Cursor deposits attractors; click drops a burst.
• NeuronsTwo nearby neuron fields linked by only a handful of short bridge connections. Click starts a session — nearest neuron fires, then pulses spill unpredictably between the two clusters.
• Lightning treeLightning branches downward from clouds toward the cursor in a fractal pattern. Mountains silhouette the horizon.

Categories: Chaos & emergence.