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

Author:

PÉREZ CONRAD J.1,CORRAL ÁLVARO1,DÍAZ-GUILERA ALBERT1,CHRISTENSEN KIM2,ARENAS ALEX3

Affiliation:

1. Departament de Física Fonamental, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain

2. Department of Physics, University of Oslo, P.O. Box 1048, Blindern, N-0316 Oslo 3, Norway

3. Departament d’Enginyeria Informàtica, Universitat Rovira i Virgili, Carretera Salou s/n, E-43006 Tarragona, Spain

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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