Logarithmically slow onset of synchronization
Statistical Mechanics
2015-05-14 v2 Disordered Systems and Neural Networks
Adaptation and Self-Organizing Systems
Abstract
Here we investigate specifically the transient of a synchronizing system, considering synchronization as a relaxation phenomenon. The stepwise establishment of synchronization is studied in the system of dynamically coupled maps introduced by Ito & Kaneko (Phys. Rev. Lett., 88, 028701, 2001 & Phys. Rev. E, 67, 046226, 2003), where the plasticity of dynamical couplings might be relevant in the context of neuroscience. We show the occurrence of logarithmically slow dynamics in the transient of a fully deterministic dynamical system.
Cite
@article{arxiv.0911.1547,
title = {Logarithmically slow onset of synchronization},
author = {Gil Benkö and Henrik Jeldtoft Jensen},
journal= {arXiv preprint arXiv:0911.1547},
year = {2015}
}
Comments
12 pages, 6 figures; additional content