Coupled Map Lattice — Spatiotemporal Chaos

A 1D lattice of logistic maps coupled diffusively. Spacetime patterns emerge: uniform, periodic, and fully chaotic phases depending on coupling ε and growth rate r.

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Space (x-axis) × time (y-axis) plot. Color maps lattice value 0→1. The logistic map f(x)=rx(1−x) drives each site; coupling spreads information spatially, creating complex patterns.