232 citations · 930 across the 41 of their papers we have counts for
8 papers · 1 filter
The hipster effect: When anticonformists all look the same
Jonathan Touboul
In such different domains as neurosciences, spin glasses, social science, economics and finance, large ensemble of interacting individuals following (mainstream) or opposing (hipst…
On the dynamics of random neuronal networks
Philippe Robert, Jonathan D. Touboul
We study the mean-field limit and stationary distributions of a pulse-coupled network modeling the dynamics of a large neuronal assemblies. Our model takes into account explicitly…
Parsimony, exhaustivity and balanced detection in neocortex
Alberto Romagnoni, Jérôme Ribot, Daniel Bennequin +1
One fascinating aspect of the brain is its ability to process information in a fast and reliable manner. The functional architecture is thought to play a central role in this task,…
Competition and boundary formation in heterogeneous media: Application to neuronal differentiation
Benoit Perthame, Cristobal Quiñinao, Jonathan Touboul
We analyze an inhomogeneous system of coupled reaction-diffusion equations representing the dynamics of gene expression during differentiation of nerve cells. The outcome of this d…
Canard explosion in delayed equations with multiple timescales
Maciej Krupa, Jonathan D. Touboul
We analyze canard explosions in delayed differential equations with a one-dimensional slow manifold. This study is applied to explore the dynamics of the van der Pol slow-fast syst…
Complex oscillations in the delayed Fitzhugh-Nagumo equation
Maciej Krupa, Jonathan Touboul
Motivated by the dynamics of neuronal responses, we analyze the dynamics of the Fitzhugh-Nagumo slow-fast system with delayed self-coupling. This system provides a canonical exampl…