Lyapunov map of the Lorenz system

The largest Lyapunov exponent λ across the (ρ, β) plane at σ = 10. Warm regions are chaotic; the cool filaments threading through them are periodic windows. Zoom levels 0–3 are precomputed — go deeper and the tiles are computed live, on the server, by a Mojo kernel.

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ρ  β  λ