2020/02/02 by Afifurrahman Afifurrahman, Afifurrahman, Ekkehard Ullner +3
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Neuroscience · Physics and Astronomy · #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #math.DS #nlin.AO #q-bio.NC #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.2002.00448
9 pages, 7 figures
arxiv created 2020/02/02 · arxiv updated 2020/02/04
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 crucially on the relative pulse-width. This has implications for the overall property of the asynchronous (balanced) regime.