COUPLED MAP LATTICE

Spatiotemporal Chaos via Logistic Maps with Diffusive Coupling
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A Coupled Map Lattice (CML) couples N logistic maps: xᵢ(t+1) = (1-ε)f(xᵢ) + (ε/2)[f(xᵢ₋₁)+f(xᵢ₊₁)], where f(x)=rx(1-x). At high r, each map is chaotic; coupling creates rich spatiotemporal patterns — frozen turbulence, traveling waves, and fully-developed spatiotemporal chaos. The space-time diagram is shown: color encodes site value.