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arXiv · 2005.04278

Dynamics and bifurcations in multistable 3-cell neural networks

J. Collens·K. Pusuluri·A. Kelly·D. Knapper·T. Xing·S. Basodi·D. Alacam·A. L. Shilnikov
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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 . 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.

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J. Collens, K. Pusuluri, A. Kelly, D. Knapper, T. Xing, S. Basodi, D. Alacam, A. L. Shilnikov. 2020-04-21. Dynamics and bifurcations in multistable 3-cell neural networks. https://doi.org/10.1063/5.0011374

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