Synchronization in random balanced networks
Disordered Systems and Neural Networks
2013-10-08 v3 Neurons and Cognition
Abstract
Characterizing the in uence of network properties on the global emerging behavior of interacting elements constitutes a central question in many areas, from physical to social sciences. In this article we study a primary model of disordered neuronal networks with excitatory-inhibitory structure and balance constraints. We show how the interplay between structure and disorder in the connectivity leads to a universal transition from trivial to synchronized stationary or periodic states. This transition cannot be explained only through the analysis of the spectral density of the connectivity matrix. We provide a low dimensional approximation that shows the role of both the structure and disorder in the dynamics.
Cite
@article{arxiv.1306.2576,
title = {Synchronization in random balanced networks},
author = {Luis Carlos Garcidel Molino and Khashayar Pakdaman and Jonathan Touboul and Gilles Wainrib},
journal= {arXiv preprint arXiv:1306.2576},
year = {2013}
}
Comments
5 pages, 3 figures