Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory

  • Authors:
  • E. M. Izhikevich

  • Affiliations:
  • Center for Syst. Sci. & Eng., Arizona State Univ., Tempe, AZ

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 1999

Quantified Score

Hi-index 0.00

Visualization

Abstract

We study pulse-coupled neural networks that satisfy only two assumptions: each isolated neuron fires periodically, and the neurons are weakly connected. Each such network can be transformed by a piece-wise continuous change of variables into a phase model, whose synchronization behavior and oscillatory associative properties are easier to analyze and understand. Using the phase model, we can predict whether a given pulse-coupled network has oscillatory associative memory, or what minimal adjustments should be made so that it can acquire memory. In the search for such minimal adjustments we obtain a large class of simple pulse-coupled neural networks that ran memorize and reproduce synchronized temporal patterns the same way a Hopfield network does with static patterns. The learning occurs via modification of synaptic weights and/or synaptic transmission delays