Selforganised pattern formation in non-local interacting neural fields

  • Mihaela Enculescu (TU Cottbus, Theoretische Physik)
A3 02 (Seminar room)


Classical selforganisation effects like pattern formation and phase transitions were observed in the human brain. The neural field model proposed by Wilson and Cowan (1973) allows a mathematical description for some of this phenomena, which might play an important role for the understanding of the human brain activity.

We study the dynamics of two-dimensional neural fields of activator-inhibitor-type and consider three types of external stimulation: homogeneous and stationary fields, homogeneous and oscillatory fields and localised excitation. Numerical simulations of the basic equations show interesting behaviors for the neural response, such as spatio-temporal pattern formation, frequency demultiplication, and travelling waves.