ON SELF-ORGANIZED CRITICALITY AND SYNCHRONIZATION IN LATTICE MODELS OF COUPLED DYNAMICAL-SYSTEMS

Lattice models of coupled dynamical systems lead to a variety of compl ex behaviors. Between the individual motion of independent units and t he collective behavior of members of a population evolving synchronous ly, there exist more complicated attractors. In some cases, these stat es are identified with sell-organized critical phenomena. In other sit uations, they are identified 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.