Dynamics and bifurcations in multistable 3-cell neural networks


Collens J., Pusuluri K., Kelley A., Knapper D., Xing T., Basodi S., ...More

CHAOS, vol.30, no.7, 2020 (Journal Indexed in SCI) identifier identifier identifier

  • Publication Type: Article / Review
  • Volume: 30 Issue: 7
  • Publication Date: 2020
  • Doi Number: 10.1063/5.0011374
  • Title of Journal : CHAOS

Abstract

We disclose the generality of the intrinsic mechanisms underlying multistability in reciprocally inhibitory 3-cell circuits composed of simplified, low-dimensional models of oscillatory neurons, as opposed to those of a detailed Hodgkin-Huxley type [Wojcik et al., PLoS One 9, e92918 (2014)]. The computational reduction to return maps for the phase-lags between neurons reveals a rich multiplicity of rhythmic patterns in such circuits. We perform a detailed bifurcation analysis to show how such rhythms can emerge, disappear, and gain or lose stability, as the parameters of the individual cells and the synapses are varied.