CMMB Seminar: Bifurcation of Learning and Structure Formation in a Neuronal Map

Jens Starke (DTU, Denmark)

Abstract:

Most learning processes in a neuronal network happen on a much longer time scale than that of the underlying neuronal dynamics. To explore a network's learning ability, it is therefore useful to analyze suitable, slowly-varying, order parameters. We study the learning process giving rise to map formation in the laminar nucleus of the barn owl's auditory system. Equation-free methods allow performing a bifurcation analysis of spatial structure formation in the associated synaptic-weight matrix. Furthermore, traveling waves in the map, which evolve on a much slower time scale and leave the order parameter invariant, are shown to exist as well. This is joint work with Christian Marschler, Carmen Faust-Ellsaesser and Leo van Hemmen.