Asynchronous states in networks of pulse-coupled oscillators

1993; American Physical Society; Volume: 48; Issue: 2 Linguagem: Inglês

10.1103/physreve.48.1483

ISSN

1538-4519

Autores

L. F. Abbott, Carl van Vreeswijk,

Tópico(s)

Neural Networks and Reservoir Computing

Resumo

We use a mean-field approach to analyze the stability of the asynchronous state in a population of all-to-all, pulse-coupled, nonlinear oscillators. We determine the conditions that must be satisfied by the time constants and phase dependence characterizing the coupling between the oscillators in order for the asynchronous state to be stable. We also consider the effects of noise. This work complements results on synchronous states in similar models and allows us to study the validity of firing-rate models commonly used for neural networks.

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