Existence and Stability of Traveling Fronts in a Lateral Inhibition Neural Network

  • Yixin Guo
  • Published 2012 in SIAM J. Applied Dynamical Systems

Abstract

We consider the existence and stability of traveling front solutions of a neural network consisting of a single–layer of neurons synaptically connected by lateral inhibition. For a specific ‘Mexican Hat’ coupling function, the existence condition for traveling fronts can be reduced to the solution of an algebraic system. Our work extends the existence of… (More)
DOI: 10.1137/120876903

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