Imagine a row of 100 cells. Each cell runs the logistic map (the simplest chaotic system). But now, each cell also diffuses - it shares a bit of its value with neighbors, like heat spreading.
u_i(n+1) = (1-ε) * f(u_i) + (ε/2) * [f(u_left) + f(u_right)]
What pattern emerges after 150 time steps?