On Self-Organized Criticality and Synchronization in Lattice Models of Coupled Dynamical Systems
Condensed Matter
2016-08-15 v1 adap-org
Adaptation and Self-Organizing Systems
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, 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.
Keywords
Cite
@article{arxiv.cond-mat/9601102,
title = {On Self-Organized Criticality and Synchronization in Lattice Models of Coupled Dynamical Systems},
author = {C. J. Pérez and A. Corral and A. Díaz-Guilera and K. Christensen and A. Arenas},
journal= {arXiv preprint arXiv:cond-mat/9601102},
year = {2016}
}
Comments
41 pages. Plain LaTeX. Style included in main file. To appear as an invited review in Int. J. Modern Physics B. Needs epsf