Collective Chaos
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
An algorithm to characterize collective motion is presented, with the introduction of ``collective Lyapunov exponent'', as the orbital instability at a macroscopic level. By applying the algorithm to a globally coupled map, existence of low-dimensional collective chaos is confirmed, where the scale of (high-dimensional) microscopic chaos is separated from the macroscopic motion, and the scale approaches zero in the thermodynamic limit. pacs:05.45+b,05.90+m,64.60.Cn
Cite
@article{arxiv.chao-dyn/9805009,
title = {Collective Chaos},
author = {Tatsuo Shibata and Kunihiko Kaneko},
journal= {arXiv preprint arXiv:chao-dyn/9805009},
year = {2009}
}
Comments
11 pages (REVTeX) + 4 figures