Publication: Dynamics and bifurcations in multistable 3-cell neural networks
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Date
2020-07-01
Authors
Alacam, D.
Authors
Collens, J.
Pusuluri, K.
Kelley, A.
Knapper, D.
Xing, T.
Basodi, S.
Shilnikov, A. L.
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Publisher
Amer Inst Physics
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.
Description
National Science Foundation (NSF) IOS-1455527
Brains and Behavior initiative of Georgia State University
Brains and Behavior initiative of Georgia State University
Keywords
Central pattern generator, Arnold tongues, Model, Synchronization, Interneurons, Principles, Stability, Circuits, Rhythms, Motifs, Science & technology, Physical sciences, Mathematics, applied, Physics, mathematical, Mathematics, Physics
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