Periodic solutions to a mean-field model for electrocortical activity

  title={Periodic solutions to a mean-field model for electrocortical activity},
  author={Lennaert van Veen and Kevin R. Green},
  journal={The European Physical Journal Special Topics},
We consider a continuum model of electrical signals in the human cortex, which takes the form of a system of semilinear, hyperbolic partial differential equations for the inhibitory and excitatory membrane potentials and the synaptic inputs. The coupling of these components is represented by sigmoidal and quadratic nonlinearities. We consider these equations on a square domain with periodic boundary conditions, in the vicinity of the primary transition from a stable equilibrium to time-periodic… 
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