Synchronization in random balanced networks

Luis Carlos García del Molino, Khashayar Pakdaman, Jonathan Touboul, and Gilles Wainrib
Phys. Rev. E 88, 042824 – Published 31 October 2013

Abstract

Characterizing the influence 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.

  • Figure
  • Figure
  • Figure
  • Received 18 June 2013

DOI:https://doi.org/10.1103/PhysRevE.88.042824

©2013 American Physical Society

Authors & Affiliations

Luis Carlos García del Molino1,*, Khashayar Pakdaman1, Jonathan Touboul2, and Gilles Wainrib3

  • 1Institut Jacques Monod, CNRS UMR 7592, Université Paris Diderot, Paris Cité Sorbonne, F-750205, Paris, France
  • 2Mathematical Neuroscience Team, CIRB-Collège de France and INRIA Paris-Rocquencourt, BANG Laboratory, 11 place Marcelin Berthelot, 75005 Paris, France
  • 3Laboratoire Analyse Géométrie et Applications, University Paris 13, Paris, France

  • *garciadelmolino@ijm.univ-paris-diderot.fr

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 88, Iss. 4 — October 2013

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×