Synchronization in random balanced networks
Autor: | Molino, Luis Carlos Garcidel, Pakdaman, Khashayar, Touboul, Jonathan, Wainrib, Gilles |
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Rok vydání: | 2013 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 5 pages, 3 figures |
Databáze: | arXiv |
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