Stability of synchronous states in sparse neuronal networks [article]

Afifurrahman and Ekkehard Ullner and Antonio Politi
2020 arXiv   pre-print
The stability of synchronous states is analysed in the context of two populations of inhibitory and excitatory neurons, characterized by different pulse-widths. The problem is reduced to that of determining the eigenvalues of a suitable class of sparse random matrices, randomness being a consequence of the network structure. A detailed analysis, which includes also the study of finite-amplitude perturbations, is performed in the limit of narrow pulses, finding that the stability depends
more » ... y on the relative pulse-width. This has implications for the overall property of the asynchronous (balanced) regime.
arXiv:2002.00448v1 fatcat:52dverykwbeuhnh6rcbi2vdwoq