Vadim Kostrykin: Stationary bumps in the neuronal field equation
Vadim Kostrykin, Mainz
Time: Wed 2012-11-14 10.30 - 11.30
Location: Room 306, building 6, Kräftriket, Department of mathematics, Stockholm university
We study stationary solutions of the neuronal field equation, a nonlinear integro-differential equation of the Hammerstein type. This equation models the behavior of a single layer of neurons in human cortex. The talk is mainly concerned with the existence of stationary bumps, that is, stationary spatially localised solutions. Their Lyapunov stability will be discussed as well.