ICNPAA 2010: Mathematical Problems in
Engineering, Aerospace and Sciences

Neural field models have a long tradition in mathematical neuroscience. In the present talk a survey of a two-population neural field model describing excitatory and inhibitory neurons interacting via nonlocal spatial connections will be given. Results from investigations of such models on the existence and stability of stationary localized activity pulses ("bumps") and generation of stationary spatial and spatiotemporal oscillations through a Turing-type of instabilities will be described.