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

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

1996-01-23

arxiv.org/abs/cond-mat/9601102v1

Physics

Condensed Matter

41 pages. Plain LaTeX. Style included in main file. To appear as an invited review in Int. J. Modern Physics B. Needs epsf

Scientific paper

10.1142/S0217979296000416

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.

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