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Synchronization in random balanced networks.

By Luis Carlos García Del Molino, Khashayar Pakdaman, Jonathan Touboul and Gilles Wainrib

Abstract

International audienceCharacterizing 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

Topics: [ MATH.MATH-PR ] Mathematics [math]/Probability [math.PR]
Publisher: American Physical Society
Year: 2013
DOI identifier: 10.1103/PhysRevE.88.042824
OAI identifier: oai:HAL:hal-00942204v1
Provided by: Hal-Diderot
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