Coupled Map Lattice

A one-dimensional coupled map lattice on a periodic ring: each site carries a logistic map x ↦ r·x·(1−x), and neighbours diffuse through coupling strength ε:

xᵢ(n+1) = (1−ε)·f(xᵢ) + (ε/2)·(f(xᵢ₋₁)+f(xᵢ₊₁))

The canvas shows a space–time heatmap (site index horizontally, time downward). Use Random for a noisy initial row, Step or Run to evolve, and adjust r toward chaos (≈3.6–4) with moderate ε to see spatiotemporal patterns.