Synchronization in random balanced networks.

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.
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Luis Carlos García del Molino, Khashayar Pakdaman, Jonathan Touboul, Gilles Wainrib. Synchronization in random balanced networks.. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2013, 88 (4), pp.042824. ⟨⟩. ⟨10.1103/PhysRevE.88.042824⟩. ⟨hal-00942204⟩



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