On Self-Organized Criticality and Synchronization in Lattice Models of Coupled Dynamical Systems

摘要

Lattice models of coupled dynamical systems lead to a variety of complexbehaviors. Between the individual motion of independent units and thecollective behavior of members of a population evolving synchronously, thereexist more complicated attractors. In some cases, these states are identifiedwith self-organized critical phenomena. In other situations, withclusterization or phase-locking. The conditions leading to such differentbehaviors in models of integrate-and-fire oscillators and stick-slip processesare reviewed.