Clustering and synchronization with positive Lyapunov exponents
adap-org
2009-10-30 v1 Adaptation and Self-Organizing Systems
Abstract
Clustering and correlation effects are frequently observed in chaotic systems in situations where, because of the positivity of the Lyapunov exponents, no dimension reduction is to be expected. In this paper, using a globally coupled network of Bernoulli units, one finds a general mechanism by which strong correlations and slow structures are obtained at the synchronization edge. A structure index is defined, which diverges at the transition points. Some conclusions are drawn concerning the construction of an ergodic theory of self-organization.
Cite
@article{arxiv.adap-org/9812004,
title = {Clustering and synchronization with positive Lyapunov exponents},
author = {R. Vilela Mendes},
journal= {arXiv preprint arXiv:adap-org/9812004},
year = {2009}
}
Comments
10 pages Latex, 2 ps figures