Publications [#328501] of Nicolas Brunel

Papers Published
  1. Roxin, A; Brunel, N; Hansel, D, Role of delays in shaping spatiotemporal dynamics of neuronal activity in large networks., Physical Review Letters, vol. 94 no. 23 (June, 2005), pp. 238103 [doi] .

    We study the effect of delays on the dynamics of large networks of neurons. We show that delays give rise to a wealth of bifurcations and to a rich phase diagram, which includes oscillatory bumps, traveling waves, lurching waves, standing waves arising via a period-doubling bifurcation, aperiodic regimes, and regimes of multistability. We study the existence and the stability of the various dynamical patterns analytically and numerically in a simplified rate model as a function of the interaction parameters. The results derived in that framework allow us to understand the origin of the diversity of dynamical states observed in large networks of spiking neurons.