Non-typical multistability in neural networks with distributed delays

  • Authors:
  • Chang-Yuan Cheng;Zhenkun Huang

  • Affiliations:
  • -;-

  • Venue:
  • Neurocomputing
  • Year:
  • 2013

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Abstract

This work studies a system of delayed differential equations as a model for a neural network with distributed delay sign propagation and sigmoidal activation functions. Typically multiple equilibria, 3^n equilibria, and non-typically multiple equilibria are both derived in an n-neuron system. Local stability and complete stability are investigated, and three examples are presented to demonstrate the theory.