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On the Global Dynamics of an Electroencephalographic Mean Field Model of the Neocortex

On the Global Dynamics of an Electroencephalographic Mean Field Model of the Neocortex

This paper investigates the global dynamics of a mean field model of the electroencephalogram developed by Liley, Cadusch, and Dafilis [Network, 13 (2002), pp. 67--113]. The model is presented as a system of coupled ordinary and partial differential equations with periodic boundary conditions. Existence, uniqueness, and regularity of weak and …