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20072014
most citedLimits and dynamics of randomly connected neuronal networks

1 citations

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3 papers

math.DS2014

Pulsatile localized dynamics in delayed neural-field equations in arbitrary dimension

Grégory Faye, Jonathan Touboul

Neural field equations are integro-differential systems describing the macroscopic activity of spatially extended pieces of cortex. In such cortical assemblies, the propagation of…

math-ph2013★ 1 cited

Limits and dynamics of randomly connected neuronal networks

Cristobal Quininao, Jonathan Touboul

Networks of the brain are composed of a very large number of neurons connected through a random graph and interacting after random delays that both depend on the anatomical distanc…

math.AP2007

Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain

Jonathan Touboul

In this article we study a controllability problem for a parabolic and a hyperbolic partial differential equations in which the control is the shape of the domain where the equatio…