Solvable dynamics in a system of interacting random tops
Disordered Systems and Neural Networks
2009-10-30 v1 adap-org
chao-dyn
Adaptation and Self-Organizing Systems
Chaotic Dynamics
Abstract
In this letter a new solvable model of synchronization dynamics is introduced. It consists of a system of long range interacting tops with random precession frequencies. The model allows for an explicit study of orientational effects in synchronized phenomena. A stability analysis of the incoherent solution is performed for different types of orientational disorder. A system with only orientational disorder always synchronizes in the absence of external noise.
Cite
@article{arxiv.cond-mat/9705213,
title = {Solvable dynamics in a system of interacting random tops},
author = {Felix Ritort},
journal= {arXiv preprint arXiv:cond-mat/9705213},
year = {2009}
}
Comments
6 Pages including 1 figure, Revtex