Collective dynamics of two-mode stochastic oscillators
Statistical Mechanics
2009-11-07 v1 Disordered Systems and Neural Networks
Abstract
We study a system of two-mode stochastic oscillators coupled through their collective output. As a function of a relevant parameter four qualitatively distinct regimes of collective behavior are observed. In an extended region of the parameter space the periodicity of the collective output is enhanced by the considered coupling. This system can be used as a new model to describe synchronization-like phenomena in systems of units with two or more oscillation modes. The model can also explain how periodic dynamics can be generated by coupling largely stochastic units. Similar systems could be responsible for the emergence of rhythmic behavior in complex biological or sociological systems.
Cite
@article{arxiv.cond-mat/0105046,
title = {Collective dynamics of two-mode stochastic oscillators},
author = {A. Nikitin and Z. Neda and T. Vicsek},
journal= {arXiv preprint arXiv:cond-mat/0105046},
year = {2009}
}
Comments
4 pages, RevTex, 5 figures