ML Anthology

On Synchrony of Weakly Coupled Neurons at Low Firing Rate

L. Neltner, David Hansel
NeCo 2001 pp. 765-774
doi:10.1162/089976601300014330 /neco/2001/neltner2001neco-synchrony/

Abstract

The dynamics of a pair of weakly interacting conductance-based neurons, firing at low frequency, v, is investigated in the framework of the phase-reduction method. The stability of the antiphase and the in-phase locked state is studied. It is found that for a large class of conductance-based models, the antiphase state is stable (resp., unstable) for excitatory (resp., inhibitory) interactions if the synaptic time constant is above a critical value τcs, which scales as |logv| when v goes to zero.

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Cite

Text

Neltner and Hansel. "On Synchrony of Weakly Coupled Neurons at Low Firing Rate." Neural Computation, 2001. doi:10.1162/089976601300014330

Markdown

[Neltner and Hansel. "On Synchrony of Weakly Coupled Neurons at Low Firing Rate." Neural Computation, 2001.](https://mlanthology.org/neco/2001/neltner2001neco-synchrony/) doi:10.1162/089976601300014330

BibTeX

@article{neltner2001neco-synchrony,
  title     = {{On Synchrony of Weakly Coupled Neurons at Low Firing Rate}},
  author    = {Neltner, L. and Hansel, David},
  journal   = {Neural Computation},
  year      = {2001},
  pages     = {765-774},
  doi       = {10.1162/089976601300014330},
  volume    = {13},
  url       = {https://mlanthology.org/neco/2001/neltner2001neco-synchrony/}
}