• Corpus ID: 248834090

Global solutions with infinitely many blowups in a mean-field neural network

@inproceedings{Sadun2022GlobalSW,
  title={Global solutions with infinitely many blowups in a mean-field neural network},
  author={Lorenzo Sadun and Thibaud Taillefumier},
  year={2022}
}
We recently introduced idealized mean-field models for networks of integrate-and-fire neurons with impulse-like interactions—the so-called delayed Poissonian mean-field models. Such models are prone to blowups: for a strong enough interaction coupling, the mean-field rate of interaction diverges in finite time with a finite fraction of neurons spiking simultaneously. Due to the reset mechanism of integrate-and-fire neurons, these blowups can happen repeatedly, at least in principle. A benefit of… 

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