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

1996; World Scientific; Volume: 10; Issue: 10 Linguagem: Inglês

10.1142/s0217979296000416

1793-6578

Conrad J. Pérez, √Ålvaro Corral, Albert Dı́az-Guilera, Kim Christensen, Àlex Arenas,

Complex Systems and Time Series Analysis

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, 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.