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

@article{Izhikevich1999WeaklyPO,
  title={Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory},
  author={Eugene M. Izhikevich},
  journal={IEEE transactions on neural networks},
  year={1999},
  volume={10 3},
  pages={508-26}
}
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… CONTINUE READING
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Collective synchronization of pulse-coupled oscillators and excitable units,”Phys. D,vol

  • Y. Kuramoto
  • 1991
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“ Collective synchronization of pulse - coupled oscillators and excitable units

  • Kuramoto
  • SIAM J . Appl . Math .
  • 1998

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