232 citations · 930 across the 41 of their papers we have counts for
Showing 2012 · math-phShow all
3 papers · 2 filters
math-ph2012★ 126 cited
Topological and Dynamical Complexity of Random Neural Networks
Gilles Wainrib, Jonathan Touboul
Random neural networks are dynamical descriptions of randomly interconnected neural units. These show a phase transition to chaos as a disorder parameter is increased. The microsco…
math-ph2012★ 53 cited
Heterogeneous connections induce oscillations in large scale networks
Geoffroy Hermann, Jonathan Touboul
Realistic large-scale networks display an heterogeneous distribution of connectivity weights, that might also randomly vary in time. We show that depending on the level of heteroge…
math-ph2012★ 20 cited
Limits and dynamics of stochastic neuronal networks with random heterogeneous delays
Jonathan Touboul
Realistic networks display heterogeneous transmission delays. We analyze here the limits of large stochastic multi-populations networks with stochastic coupling and random intercon…