Damage Spreading, Chaos and Regional Synchronization of a Probabilistic Cellular Automaton

Probabilistic cellular automata (PCA) are spatially extended stochastic systems. Their time evolution depends on a set of random numbers, that can be considered as a quenched random field. Given this field, the PCA evolution becomes deterministic and we can extend the concept of damage spreading and maximum Lyapunov exponent to PCA. We study here the relationship between these dynamical properties for a PCA with two absorbing states. We investigate also the regional masterslave synchronization of two replicas, employing several techniques.