  Lattice models of coupled dynamical systems lead to a variety of complex
behaviors. Between the individual motion of independent units and the
collective behavior of members of a population evolving synchronously, there
exist more complicated attractors. In some cases, these states are identified
with self-organized critical phenomena. In other situations, with
clusterization or phase-locking. The conditions leading to such different
behaviors in models of integrate-and-fire oscillators and stick-slip processes
are reviewed.
