Synchronization in random balanced networks

Luis Carlos Garcidel Molino; Khashayar Pakdaman; Jonathan Touboul; Gilles Wainrib

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arXiv · 1306.2576

Synchronization in random balanced networks

Luis Carlos Garcidel Molino·Khashayar Pakdaman·Jonathan Touboul·Gilles Wainrib

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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.

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BibTeX RIS

Luis Carlos Garcidel Molino, Khashayar Pakdaman, Jonathan Touboul, Gilles Wainrib. 2013-10-07. Synchronization in random balanced networks. https://arxiv.org/abs/1306.2576

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