Phase clustering and collective behaviors in globally coupled map latticesdue to mean field effects

We describe the emergence of phase clustering and collective behaviors in a n ensemble of chaotic coupled map lattices, due to a mean field interaction . This kind of interaction is responsible for the appearence of a collectiv e state, wherein the mean field evolution of each lattice undergoes a perio dic behavior in space. We analyze the transition to such a state in an ense mble of one-dimensional lattices of logistic maps, showing that the resulti ng behavior cooperatively maximizes the energy of the mean field activity.