u(x,t+1)=(1-a)f(u(x,t))+a[g(u(x-1,t))+g(u(x+1,t))]/2

f(u)=2u-1

g(u)=-u

where x and t are integers giving the discrete space and time respectively, u is a real variable, a is a real parameter equal to 0.4 in this simulation, f(u) is the local dynamics, a well known exactly solvable chaotic map, and g(u) is the coupling. The initial conditions are randomly distributed between -1 and 1, and the above dynamics can easily be shown to remain in that interval.

At this parameter value there is a stable period two cycle oscillating between roughly -0.632 and 0.132. However, distant parts of the lattice might be out of phase, leading to interesting behaviour at the boundary. Only every second time step is shown for clarity; for alternate time steps the picture would be inverted. The relaxation proceeds in three stages:

- The initial random transient very quickly settles into a state with many domains given by the above two values
- The domains coarsen, with small domains disappearing, until all the domains remaining are larger than a certain size and stable.
- Boundaries between the domains relax to their permanent states.