Cellular automata are discrete time dynamical systems defined on a discrete space, or lattice as coupled maps. The crucial difference is that the state space associated to each lattice site must also be discrete (countable), whereas for coupled maps the state space is at least uncountable, and usually continuous. The most famous example of a cellular automaton is Conway's Game of Life, based on a two-dimensional lattice. Each lattice site has a state which is either on (alive) or off (dead) and the system passes from one generation to the next by way of a set of rules dependent on the eight neighbouring sites for each cell.
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Cellular Automata Tutorial