Heterogeneity Induced Order in Globally Coupled Chaotic Systems
chao-dyn
2009-10-28 v1 Chaotic Dynamics
Abstract
Collective behavior is studied in globally coupled maps with distributed nonlinearity. It is shown that the heterogeneity enhances regularity in the collective dynamics. Low-dimensional quasiperiodic motion is often found for the mean-field, even if each element shows chaotic dynamics. The mechanism of this order is due to the formation of an internal bifurcation structure, and the self-consistent dynamics between the structures and the mean-field. Keywords: Globally Coupled Map with heterogeneity, Collective behavior
Cite
@article{arxiv.chao-dyn/9604016,
title = {Heterogeneity Induced Order in Globally Coupled Chaotic Systems},
author = {Tatsuo Shibata and Kunihiko Kaneko},
journal= {arXiv preprint arXiv:chao-dyn/9604016},
year = {2009}
}
Comments
11 pages (Revtex) + 4 figures (PostScript,tar+gzip)