Section: New Results

Neurosciences

Participants : M. Galtier, G. Hermann, M. Magnasco, T. Taillefumier, Jonathan Touboul.

We pursued the analysis of the dynamics of networks of neurons in the presence of noise. Limit theorems in simple cases were treated in [9] , and more refined models including space, delays and heterogeneities were analysed in [34] , [35] , toubouldelays:12,touboulNeuralFieldsDynamics:12. In all these contributions we analysed the eminently important role of noise and heterogeneity on the qualitative dynamics of networks. Mathematical results were obtained for representation of the solutions to linear functional differential equations [22] that were motivated by plasticity phenomena in the cortex.